Details

analyze20.0s (60.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

311×	`cancel-sign-sub-inv_binary64`
251×	`sub-neg_binary64`
146×	`unsub-neg_binary64`
137×	`associate--r+_binary64`
116×	`distribute-rgt-in_binary64`
107×	`associate--l+_binary64`
91×	`associate-+l-_binary64`
84×	`neg-mul-1_binary64`
83×	`distribute-rgt-neg-in_binary64`
82×	`associate--r-_binary64`
81×	`distribute-lft-neg-out_binary64`
74×	`distribute-neg-in_binary64`
71×	`associate-+l+_binary64` `+-commutative_binary64`
70×	`neg-sub0_binary64` `associate-+r+_binary64`
56×	`sub0-neg_binary64`
53×	`*-commutative_binary64`
49×	`associate-+r-_binary64`
36×	`distribute-rgt-neg-out_binary64`
34×	`*-lft-identity_binary64`
31×	`distribute-lft-neg-in_binary64`
29×	`associate--l-_binary64`
23×	`tan-neg_binary64`
20×	`distribute-neg-out_binary64`
15×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
13×	`remove-double-neg_binary64`
12×	`+-lft-identity_binary64`
11×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
10×	`--rgt-identity_binary64`
6×	`distribute-lft-in_binary64`
4×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `swap-y-z`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	98
1	64	98
2	116	98
3	217	98
4	350	98
5	602	98
6	954	98
7	1130	98
8	1118	98
9	1124	98
10	1110	98
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0%	0.2%	99.8%	3
0%	0.2%	99.8%	4
0%	0.2%	99.8%	5
0%	0.2%	99.8%	6
0%	0.2%	99.8%	7
0%	0.2%	99.8%	8
0%	0.2%	99.8%	9
0%	0.2%	99.8%	10
0%	0.2%	99.8%	11
0%	0.2%	99.8%	12
0%	0.2%	99.8%	13
0%	0.2%	99.8%	14

Symmetry

(sort y z)

Compiler

Compiled 45 to 37 computations (17.8% saved)

sample108.0ms (0.3%)

Algorithm

1×

intervals

Results

49.0ms	145×	body	1024	valid
17.0ms	256×	pre	128	true
7.0ms	40×	body	512	valid
3.0ms	51×	body	128	valid
2.0ms	5×	body	2048	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Rules

48×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`
24×	`associate--r+_binary64`
23×	`unsub-neg_binary64`
22×	`distribute-rgt-in_binary64`
19×	`associate--r-_binary64`
17×	`neg-mul-1_binary64` `associate--l+_binary64`
15×	`distribute-neg-in_binary64`
14×	`associate-+l-_binary64`
13×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `+-commutative_binary64`
12×	`neg-sub0_binary64`
11×	`associate-+l+_binary64`
10×	`sub0-neg_binary64` `associate-+r+_binary64`
8×	`associate-+r-_binary64` `*-commutative_binary64`
7×	`*-lft-identity_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`distribute-lft-neg-in_binary64` `distribute-lft-in_binary64`
4×	`associate--l-_binary64`
3×	`+-rgt-identity_binary64` `+-lft-identity_binary64`
2×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`1-exp_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

11.6b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
2.0b	(tan.f64 (+.f64 y z))

rewrite87.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`
4×	`tan-quot_binary64` `associate-+r+_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`tan-sum_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

7.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
5.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 757 to 180 computations (76.2% saved)

series315.0ms (1%)

Error

10.6b

Counts

3 → 50

Calls

3 calls:

118.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
82.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
56.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 2925 to 1829 computations (37.5% saved)

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

604×	`times-frac_binary64`
444×	`associate-/l*_binary64`
403×	`associate-l_binary64`
222×	`associate-/r*_binary64`
215×	`associate-+r+_binary64`
181×	`+-commutative_binary64`
170×	`distribute-rgt-in_binary64`
160×	`distribute-lft-in_binary64`
147×	`associate-+l+_binary64`
94×	`unswap-sqr_binary64`
86×	`sub-neg_binary64`
80×	`associate--l+_binary64`
71×	`associate-/r/_binary64`
69×	`associate-*l/_binary64`
65×	`associate-*r/_binary64`
53×	`sqr-pow_binary64`
52×	`associate-/l/_binary64`
46×	`associate-r_binary64`
40×	`*-commutative_binary64`
28×	`distribute-rgt-neg-in_binary64`
26×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
24×	`neg-sub0_binary64`
23×	`distribute-lft-neg-out_binary64`
18×	`distribute-lft-neg-in_binary64`
16×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
14×	`distribute-neg-in_binary64`
12×	`exp-prod_binary64`
10×	`unpow3_binary64` `cube-mult_binary64`
9×	`cube-prod_binary64`
7×	`exp-sum_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
5×	`distribute-rgt-out_binary64`
4×	`cube-unmult_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
3×	`exp-diff_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
1×	`1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `distribute-neg-frac_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

96 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2908
1	584	2879
2	1876	2819
3	5331	2819

prune97.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Error

0.1b

Counts

66 → 7

Compiler

Compiled 1622 to 639 computations (60.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
0.2b	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite265.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`associate-*r/_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`tan-quot_binary64` `*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64` `associate-r_binary64`
9×	`associate-l_binary64`
8×	`associate-/l/_binary64`
6×	`frac-sub_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `times-frac_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64`
2×	`frac-times_binary64` `associate-*l/_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out_binary64`

Counts

4 → 98

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
8.0ms	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
6.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4268 to 1260 computations (70.5% saved)

series601.0ms (1.8%)

Error

0.1b

Counts

4 → 53

Calls

4 calls:

315.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
93.0ms	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
54.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
54.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 6132 to 3210 computations (47.7% saved)

simplify141.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

383×	`associate-l_binary64`
371×	`associate-r_binary64`
242×	`associate-/l*_binary64`
236×	`times-frac_binary64`
233×	`*-commutative_binary64`
174×	`associate-/r*_binary64`
170×	`distribute-rgt-in_binary64`
169×	`+-commutative_binary64`
165×	`distribute-lft-in_binary64`
151×	`associate-+r+_binary64`
119×	`associate-+l+_binary64`
111×	`sub-neg_binary64`
66×	`div-sub_binary64`
58×	`associate-*l/_binary64` `associate--l+_binary64`
55×	`neg-mul-1_binary64` `neg-sub0_binary64`
52×	`associate-*r/_binary64`
46×	`sqr-pow_binary64`
38×	`exp-prod_binary64` `associate-/r/_binary64`
37×	`cancel-sign-sub-inv_binary64`
28×	`distribute-rgt-neg-in_binary64`
25×	`unsub-neg_binary64`
23×	`cube-prod_binary64`
21×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
18×	`unswap-sqr_binary64`
16×	`associate--r+_binary64`
14×	`swap-sqr_binary64`
11×	`distribute-neg-in_binary64`
9×	`unpow3_binary64` `cube-unmult_binary64` `cube-mult_binary64` `distribute-rgt-out_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
6×	`log-div_binary64` `exp-sum_binary64` `distribute-neg-frac_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64`
5×	`*-rgt-identity_binary64`
4×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
2×	`cube-div_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

151 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5652
1	1144	5015
2	4647	5003
3	4985	5003

prune174.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	92	11	103

Error

0.0b

Counts

103 → 11

Compiler

Compiled 3758 to 1360 computations (63.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))))
0.2b	(/.f64 1 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))

rewrite639.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

126×	`times-frac_binary64`
91×	`*-un-lft-identity_binary64`
76×	`add-sqr-sqrt_binary64`
74×	`add-cube-cbrt_binary64`
29×	`add-exp-log_binary64`
23×	`associate-/r*_binary64`
17×	`distribute-lft-out--_binary64`
16×	`div-exp_binary64` `associate-/r/_binary64`
13×	`add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
9×	`pow1_binary64`
8×	`1-exp_binary64` `rec-exp_binary64`
7×	`div-inv_binary64` `associate-*r/_binary64`
6×	`add-log-exp_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l*_binary64`
5×	`pow-flip_binary64`
4×	`cbrt-undiv_binary64` `tan-quot_binary64`
3×	`inv-pow_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`remove-double-div_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 194

Calls

4 calls:

19.0ms	(/.f64 1 (/.f64 1 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))))
14.0ms	(/.f64 1 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
14.0ms	(-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 8562 to 3786 computations (55.8% saved)

series1.1s (3.3%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

415.0ms	(/.f64 1 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
251.0ms	(-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
245.0ms	(/.f64 1 (/.f64 1 (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))))
55.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 8393 to 4255 computations (49.3% saved)

simplify236.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

412×	`times-frac_binary64`
405×	`associate-/l*_binary64`
300×	`associate-/r*_binary64`
279×	`associate-r_binary64`
244×	`associate-l_binary64`
168×	`associate-*l/_binary64`
141×	`associate-*r/_binary64`
134×	`associate-/r/_binary64`
110×	`*-commutative_binary64`
85×	`+-commutative_binary64`
79×	`sub-neg_binary64`
78×	`associate-/l/_binary64`
68×	`sqr-pow_binary64`
63×	`unswap-sqr_binary64`
61×	`associate-+r+_binary64`
45×	`neg-mul-1_binary64`
41×	`neg-sub0_binary64`
35×	`distribute-rgt-in_binary64`
31×	`distribute-lft-in_binary64`
26×	`distribute-neg-frac_binary64`
25×	`distribute-rgt-neg-in_binary64`
23×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64`
21×	`distribute-neg-in_binary64`
15×	`swap-sqr_binary64`
13×	`unpow3_binary64` `cube-mult_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64`
11×	`div-sub_binary64`
10×	`unpow2_binary64` `unpow1_binary64`
9×	`remove-double-div_binary64` `distribute-rgt-neg-out_binary64`
8×	`/-rgt-identity_binary64`
7×	`exp-prod_binary64` `*-rgt-identity_binary64`
6×	`associate--r+_binary64`
5×	`cube-unmult_binary64`
4×	`log-div_binary64` `*-lft-identity_binary64` `associate--r-_binary64`
3×	`log-prod_binary64` `unsub-neg_binary64` `distribute-rgt-out_binary64`
2×	`log-rec_binary64` `cube-div_binary64` `cube-prod_binary64` `*-inverses_binary64` `difference-of-squares_binary64`
1×	`div-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-inverses_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`

Counts

253 → 215

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	520	14436
1	1446	13944
2	4986	13944

prune327.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	216	10	226

Error

0.0b

Counts

226 → 10

Compiler

Compiled 6747 to 2645 computations (60.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 x (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
0.2b	(/.f64 (sin.f64 a) (cos.f64 a))
0.2b	(-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite300.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
28×	`add-cube-cbrt_binary64`
27×	`times-frac_binary64`
26×	`cancel-sign-sub-inv_binary64`
14×	`associate-+r+_binary64`
11×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`tan-quot_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`associate-*r/_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `quot-tan_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

15.0ms	(+.f64 x (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
13.0ms	(-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
6.0ms	(/.f64 (sin.f64 a) (cos.f64 a))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 3392 to 1113 computations (67.2% saved)

series754.0ms (2.3%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

366.0ms	(+.f64 x (-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a))))
248.0ms	(-.f64 (.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
55.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
12.0ms	(/.f64 (sin.f64 a) (cos.f64 a))

Compiler

Compiled 4581 to 2517 computations (45.1% saved)

simplify178.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

789×	`times-frac_binary64`
217×	`associate-+r+_binary64`
209×	`distribute-rgt-in_binary64`
195×	`+-commutative_binary64`
152×	`associate-+l+_binary64`
134×	`sub-neg_binary64`
116×	`associate-/l_binary64` `-commutative_binary64`
110×	`associate-l_binary64`
108×	`associate-r_binary64`
107×	`unswap-sqr_binary64`
95×	`associate--l+_binary64`
92×	`distribute-neg-frac_binary64`
79×	`distribute-rgt-neg-in_binary64`
76×	`sqr-pow_binary64`
75×	`associate-*l/_binary64`
70×	`neg-sub0_binary64`
68×	`unsub-neg_binary64`
67×	`neg-mul-1_binary64`
63×	`associate-*r/_binary64`
60×	`cancel-sign-sub-inv_binary64`
54×	`distribute-lft-neg-in_binary64`
53×	`log-prod_binary64`
48×	`distribute-lft-neg-out_binary64`
44×	`associate-/r*_binary64`
37×	`distribute-rgt-neg-out_binary64`
28×	`div-sub_binary64`
27×	`exp-prod_binary64` `distribute-lft-in_binary64`
25×	`associate-/r/_binary64`
22×	`associate-+r-_binary64`
19×	`+-rgt-identity_binary64` `associate-/l/_binary64`
17×	`cube-prod_binary64` `*-lft-identity_binary64`
16×	`*-rgt-identity_binary64`
15×	`distribute-frac-neg_binary64`
14×	`unpow3_binary64` `distribute-neg-in_binary64`
12×	`cube-mult_binary64`
10×	`swap-sqr_binary64`
8×	`log-div_binary64` `cube-unmult_binary64`
7×	`exp-sum_binary64` `cube-div_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
5×	`exp-diff_binary64`
4×	`distribute-lft-out_binary64`
3×	`remove-double-neg_binary64` `div0_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

155 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	5517
1	900	5414
2	2880	5242
3	4968	5242
4	5000	5242

prune153.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	103	9	112

Error

0.0b

Counts

112 → 9

Compiler

Compiled 2597 to 889 computations (65.8% saved)

regimes4.3s (13.1%)

Accuracy

Total 0.1b remaining (42.7%)

Threshold costs 0.1b (42.7%)

Compiler

Compiled 80701 to 52768 computations (34.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	27	29
2	39	29
3	47	29
4	52	29
5	53	29
6	52	29

end8.0ms (0%)

Remove: (sort y z)
Compiler: Compiled 54 to 42 computations (22.2% saved)

sample3.0s (9.1%)

Algorithm

1×

intervals

Results

1.2s	4493×	body	1024	valid
532.0ms	8000×	pre	128	true
257.0ms	1459×	body	512	valid
157.0ms	224×	body	2048	valid
74.0ms	1358×	body	128	valid
53.0ms	466×	body	256	valid

Compiler

Compiled 345 to 251 computations (27.2% saved)

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14

Details

analyze20.0s (60.7%)

sample108.0ms (0.3%)

simplify16.0ms (0%)

prune3.0ms (0%)

localize10.0ms (0%)

rewrite87.0ms (0.3%)

series315.0ms (1%)

simplify84.0ms (0.3%)

prune97.0ms (0.3%)

localize22.0ms (0.1%)

rewrite265.0ms (0.8%)

series601.0ms (1.8%)

simplify141.0ms (0.4%)

prune174.0ms (0.5%)

localize22.0ms (0.1%)

rewrite639.0ms (1.9%)

series1.1s (3.3%)

simplify236.0ms (0.7%)

prune327.0ms (1%)

localize17.0ms (0.1%)

rewrite300.0ms (0.9%)

series754.0ms (2.3%)

simplify178.0ms (0.5%)

prune153.0ms (0.5%)

regimes4.3s (13.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end8.0ms (0%)

sample3.0s (9.1%)

Profiling

Iter	Nodes	Cost
0	10	14
1	16	14
2	27	14
3	45	14
4	70	14
5	119	14
6	176	14
7	200	14
8	205	14
9	200	14
10	186	14