Details

analyze19.6s (67.1%)

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)

sample112.0ms (0.4%)

Algorithm

1×

intervals

Results

39.0ms	149×	body	1024	valid
31.0ms	256×	pre	128	true
7.0ms	41×	body	512	valid
3.0ms	7×	body	2048	valid
2.0ms	20×	body	256	valid
2.0ms	39×	body	128	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify16.0ms (0.1%)

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

11.8b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize11.0ms (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))
2.6b	(tan.f64 (+.f64 y z))

rewrite90.0ms (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:

12.0ms	(-.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)

series270.0ms (0.9%)

Error

10.8b

Counts

3 → 44

Calls

3 calls:

109.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
73.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
49.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 2259 to 1435 computations (36.5% saved)

simplify102.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

481×	`unswap-sqr_binary64`
377×	`+-commutative_binary64`
315×	`times-frac_binary64`
288×	`associate-r_binary64`
280×	`associate-l_binary64`
251×	`sub-neg_binary64`
239×	`associate-/l*_binary64`
209×	`associate--l+_binary64`
170×	`distribute-rgt-in_binary64`
160×	`distribute-lft-in_binary64`
123×	`associate-/r*_binary64`
116×	`*-commutative_binary64`
111×	`associate-+r+_binary64`
101×	`unsub-neg_binary64`
79×	`associate-+l+_binary64`
70×	`sqr-pow_binary64`
54×	`neg-sub0_binary64`
50×	`associate-+r-_binary64`
43×	`neg-mul-1_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
40×	`associate-/r/_binary64`
38×	`associate-*l/_binary64`
36×	`exp-prod_binary64` `associate-*r/_binary64`
30×	`exp-sum_binary64`
28×	`distribute-rgt-neg-in_binary64`
26×	`sub0-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-/l/_binary64`
23×	`cube-prod_binary64` `distribute-lft-neg-out_binary64`
19×	`associate--r+_binary64`
18×	`distribute-lft-neg-in_binary64`
17×	`cube-unmult_binary64`
16×	`distribute-rgt-neg-out_binary64`
14×	`distribute-neg-in_binary64`
12×	`unpow3_binary64` `exp-diff_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
11×	`remove-double-neg_binary64`
10×	`difference-of-squares_binary64`
9×	`pow-plus_binary64`
7×	`cube-mult_binary64` `rem-sqrt-square_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `mul-1-neg_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
3×	`prod-exp_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
2×	`cube-div_binary64` `swap-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `--rgt-identity_binary64` `distribute-neg-frac_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` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `div0_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

90 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	2286
1	441	2257
2	1250	2218
3	4211	2209
4	5267	2209

prune71.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	8	60

Error

0.1b

Counts

60 → 8

Compiler

Compiled 1276 to 490 computations (61.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 a) (+.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))
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)))))

rewrite312.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`associate-*r/_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64` `tan-quot_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×	`times-frac_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `frac-times_binary64` `associate-*l/_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)))
5.0ms	(*.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)

series566.0ms (1.9%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

301.0ms	(/.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)))))
101.0ms	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
50.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
44.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 6111 to 3136 computations (48.7% saved)

simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

395×	`associate-r_binary64`
394×	`associate-l_binary64`
281×	`associate-/l*_binary64`
278×	`times-frac_binary64`
197×	`associate-/r*_binary64`
170×	`distribute-rgt-in_binary64`
165×	`distribute-lft-in_binary64`
143×	`associate-+l+_binary64`
121×	`*-commutative_binary64`
75×	`+-commutative_binary64`
73×	`associate-*l/_binary64` `associate--l+_binary64`
68×	`associate-*r/_binary64`
59×	`sub-neg_binary64`
47×	`cancel-sign-sub-inv_binary64`
46×	`associate-+r+_binary64`
42×	`sqr-pow_binary64`
40×	`associate-/r/_binary64`
38×	`associate--r+_binary64`
28×	`distribute-rgt-neg-in_binary64`
21×	`distribute-lft-neg-in_binary64`
20×	`neg-mul-1_binary64` `neg-sub0_binary64`
17×	`distribute-neg-in_binary64`
16×	`swap-sqr_binary64`
15×	`div-sub_binary64`
14×	`unswap-sqr_binary64` `distribute-rgt-out_binary64`
10×	`exp-prod_binary64`
9×	`log-prod_binary64`
8×	`unpow3_binary64` `cube-mult_binary64`
7×	`unpow2_binary64` `unpow1_binary64` `cube-unmult_binary64`
6×	`distribute-neg-frac_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64`
5×	`cube-prod_binary64` `*-rgt-identity_binary64`
4×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
2×	`log-div_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64`
1×	`exp-diff_binary64` `exp-sum_binary64` `1-exp_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-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-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` `unsub-neg_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

147 → 90

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	6126
1	1236	5471
2	4972	5471

prune148.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Error

0.1b

Counts

98 → 10

Compiler

Compiled 3873 to 1361 computations (64.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite215.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `tan-quot_binary64` `times-frac_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64` `flip3--_binary64` `flip--_binary64` `div-inv_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64`

Counts

4 → 88

Calls

4 calls:

14.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 1) (/.f64 (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (cos.f64 a)))
8.0ms	(/.f64 (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (cos.f64 a))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 3429 to 1259 computations (63.3% saved)

series481.0ms (1.6%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

198.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 1) (/.f64 (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (cos.f64 a)))
119.0ms	(/.f64 (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z)))) (cos.f64 a))
51.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
43.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4566 to 2638 computations (42.2% saved)

simplify150.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

475×	`cancel-sign-sub-inv_binary64`
258×	`times-frac_binary64`
233×	`associate-/l*_binary64`
198×	`sub-neg_binary64`
186×	`distribute-neg-frac_binary64`
178×	`associate-r_binary64`
170×	`associate-l_binary64`
153×	`+-commutative_binary64`
145×	`div-sub_binary64`
142×	`*-commutative_binary64`
136×	`associate-+r+_binary64`
120×	`associate-/r*_binary64`
116×	`associate-+l+_binary64`
100×	`associate-*l/_binary64`
97×	`associate--l+_binary64`
92×	`exp-prod_binary64`
70×	`neg-mul-1_binary64`
69×	`neg-sub0_binary64` `associate-*r/_binary64`
57×	`log-prod_binary64`
54×	`cube-prod_binary64`
53×	`distribute-neg-in_binary64`
49×	`sqr-pow_binary64`
45×	`unsub-neg_binary64` `associate--r+_binary64`
44×	`exp-sum_binary64`
41×	`distribute-lft-neg-out_binary64`
40×	`log-div_binary64`
38×	`cube-div_binary64`
36×	`*-rgt-identity_binary64`
32×	`/-rgt-identity_binary64`
29×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
27×	`distribute-rgt-neg-out_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
25×	`*-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
21×	`unpow3_binary64`
19×	`exp-diff_binary64`
17×	`cube-mult_binary64`
13×	`distribute-lft-neg-in_binary64`
9×	`log-rec_binary64`
8×	`cube-unmult_binary64`
4×	`distribute-rgt-out_binary64`
3×	`+-rgt-identity_binary64` `div0_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `associate-+r-_binary64`
2×	`unpow1/2_binary64` `exp-neg_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out_binary64`
1×	`log-pow_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `pow-sqr_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` `unpow2_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

134 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	4148
1	855	4017
2	3473	3999
3	4745	3999
4	5154	3999

prune136.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Error

0.1b

Counts

100 → 10

Compiler

Compiled 2816 to 1042 computations (63% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))
0.3b	(.f64 (.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))

rewrite281.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`pow1_binary64`
44×	`tan-quot_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64` `frac-times_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`associate-l/_binary64` `associate-r/_binary64`
11×	`prod-exp_binary64` `cbrt-unprod_binary64`
10×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`pow-prod-up_binary64` `add-log-exp_binary64` `pow-sqr_binary64` `*-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`pow-plus_binary64`
1×	`pow2_binary64` `swap-sqr_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4844 to 1520 computations (68.6% saved)

series302.0ms (1%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

74.0ms	(.f64 (.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))
53.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
53.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
50.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4804 to 2714 computations (43.5% saved)

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

680×	`times-frac_binary64`
533×	`unswap-sqr_binary64`
506×	`associate-/l*_binary64`
347×	`*-commutative_binary64`
315×	`associate-/r*_binary64`
190×	`associate-l_binary64`
179×	`associate-r_binary64`
127×	`swap-sqr_binary64`
114×	`associate-*l/_binary64`
105×	`associate-/r/_binary64`
101×	`associate-*r/_binary64`
95×	`associate-+l+_binary64`
92×	`sqr-pow_binary64`
65×	`associate-+r+_binary64`
60×	`distribute-rgt-out_binary64`
48×	`associate-/l/_binary64`
38×	`exp-prod_binary64`
32×	`log-prod_binary64`
31×	`+-commutative_binary64`
23×	`rem-sqrt-square_binary64`
22×	`cube-prod_binary64`
13×	`pow-plus_binary64` `pow-sqr_binary64`
12×	`cube-unmult_binary64` `*-lft-identity_binary64`
10×	`unpow1/2_binary64`
9×	`unpow2_binary64`
8×	`*-rgt-identity_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
6×	`unpow3_binary64` `unpow1_binary64`
5×	`count-2_binary64`
3×	`cube-mult_binary64`
1×	`1-exp_binary64` `exp-1-e_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` `pow-base-0_binary64` `unpow1/3_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-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_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` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_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` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

148 → 99

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	153	2802
1	381	2507
2	1189	2457
3	3671	2361
4	4992	2285
5	4984	2285
6	4961	2285

prune136.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	99	10	109

Error

0.0b

Counts

109 → 10

Compiler

Compiled 2748 to 1078 computations (60.8% saved)

regimes2.9s (9.9%)

Accuracy

Total 0.1b remaining (54.6%)

Threshold costs 0.1b (54.6%)

Compiler

Compiled 52384 to 33827 computations (35.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_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` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_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	19	47
1	31	47
2	45	47
3	55	47
4	62	47
5	64	47
6	63	47

end10.0ms (0%)

Remove: (sort y z)
Compiler: Compiled 87 to 57 computations (34.5% saved)

sample3.0s (10.2%)

Algorithm

1×

intervals

Results

1.2s	4643×	body	1024	valid
542.0ms	8000×	pre	128	true
225.0ms	1364×	body	512	valid
128.0ms	206×	body	2048	valid
73.0ms	1300×	body	128	valid
60.0ms	487×	body	256	valid

Compiler

Compiled 340 to 243 computations (28.5% 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

analyze19.6s (67.1%)

sample112.0ms (0.4%)

simplify16.0ms (0.1%)

prune3.0ms (0%)

localize11.0ms (0%)

rewrite90.0ms (0.3%)

series270.0ms (0.9%)

simplify102.0ms (0.3%)

prune71.0ms (0.2%)

localize22.0ms (0.1%)

rewrite312.0ms (1.1%)

series566.0ms (1.9%)

simplify115.0ms (0.4%)

prune148.0ms (0.5%)

localize22.0ms (0.1%)

rewrite215.0ms (0.7%)

series481.0ms (1.6%)

simplify150.0ms (0.5%)

prune136.0ms (0.5%)

localize24.0ms (0.1%)

rewrite281.0ms (1%)

series302.0ms (1%)

simplify152.0ms (0.5%)

prune136.0ms (0.5%)

regimes2.9s (9.9%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end10.0ms (0%)

sample3.0s (10.2%)

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