Details

analyze20.1s (39.3%)

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)

sample115.0ms (0.2%)

Algorithm

1×

intervals

Results

54.0ms	147×	body	1024	valid
18.0ms	256×	pre	128	true
8.0ms	48×	body	512	valid
3.0ms	6×	body	2048	valid
2.0ms	42×	body	128	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify18.0ms (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

14.2b

Counts

1 → 1

Compiler

Compiled 9 to 9 computations (0% saved)

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
0.2b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
5.1b	(tan.f64 (+.f64 y z))

rewrite84.0ms (0.2%)

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` `sum-log_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `sub-neg_binary64` `frac-sub_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64` `flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64`

Counts

3 → 46

Calls

3 calls:

8.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
6.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 790 to 187 computations (76.3% saved)

series1.9s (3.7%)

Error

13.2b

Counts

3 → 54

Calls

3 calls:

927.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
629.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
261.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 3327 to 1905 computations (42.7% saved)

simplify144.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

604×	`times-frac_binary64`
444×	`associate-/l*_binary64`
222×	`associate-/r*_binary64`
217×	`associate-+r+_binary64`
190×	`+-commutative_binary64`
179×	`distribute-rgt-in_binary64`
163×	`distribute-lft-in_binary64`
150×	`associate-+l+_binary64`
119×	`sub-neg_binary64`
118×	`cancel-sign-sub-inv_binary64`
94×	`unswap-sqr_binary64`
87×	`neg-mul-1_binary64`
86×	`associate--l+_binary64`
71×	`associate-/r/_binary64`
59×	`sqr-pow_binary64`
52×	`associate-/l/_binary64`
50×	`associate-r_binary64`
47×	`associate-l_binary64`
43×	`distribute-rgt-neg-in_binary64`
42×	`*-commutative_binary64`
40×	`unpow3_binary64`
36×	`exp-prod_binary64`
32×	`cube-prod_binary64` `distribute-lft-neg-in_binary64`
30×	`neg-sub0_binary64`
25×	`distribute-neg-in_binary64`
24×	`distribute-lft-neg-out_binary64`
21×	`unsub-neg_binary64`
20×	`exp-sum_binary64`
18×	`associate--r+_binary64`
16×	`distribute-rgt-neg-out_binary64`
11×	`cube-unmult_binary64` `cube-mult_binary64`
8×	`pow-plus_binary64` `rem-sqrt-square_binary64`
7×	`exp-diff_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
5×	`div-exp_binary64` `distribute-rgt-out_binary64` `associate-l/_binary64` `associate-r/_binary64`
4×	`cube-div_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
2×	`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` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_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` `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-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

100 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	3036
1	628	3007
2	2007	2947
3	4856	2929
4	4984	2929
5	4978	2929

prune125.0ms (0.2%)

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

0.2b

Counts

66 → 7

Compiler

Compiled 1885 to 651 computations (65.5% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))

rewrite283.0ms (0.6%)

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×	`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:

16.0ms	(/.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))
6.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4540 to 1349 computations (70.3% saved)

series4.2s (8.2%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

2.7s	(/.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)))))
701.0ms	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
356.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
356.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 7196 to 3521 computations (51.1% saved)

simplify160.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

415×	`associate-r_binary64`
412×	`associate-l_binary64`
302×	`associate-/l*_binary64`
299×	`times-frac_binary64`
207×	`associate-/r*_binary64`
170×	`distribute-rgt-in_binary64`
165×	`distribute-lft-in_binary64`
127×	`*-commutative_binary64`
86×	`+-commutative_binary64`
85×	`associate--l+_binary64`
75×	`associate-*l/_binary64`
70×	`associate-*r/_binary64`
63×	`sub-neg_binary64`
55×	`associate-+r+_binary64`
50×	`sqr-pow_binary64`
47×	`cancel-sign-sub-inv_binary64`
44×	`associate-/r/_binary64`
28×	`distribute-rgt-neg-in_binary64`
21×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
20×	`neg-mul-1_binary64` `neg-sub0_binary64` `unswap-sqr_binary64`
17×	`distribute-neg-in_binary64`
16×	`swap-sqr_binary64`
15×	`div-sub_binary64`
14×	`distribute-rgt-out_binary64`
10×	`unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`
8×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
7×	`cube-unmult_binary64`
6×	`log-div_binary64` `distribute-neg-frac_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--r+_binary64`
5×	`cube-prod_binary64` `*-rgt-identity_binary64`
4×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
2×	`*-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-+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-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` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

152 → 97

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	6485
1	1325	5863
2	4969	5863
3	4967	5863

prune247.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Error

0.1b

Counts

104 → 10

Compiler

Compiled 5462 to 1810 computations (66.9% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 x (/.f64 (-.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))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
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))

rewrite214.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `tan-quot_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`associate-l_binary64` `associate-r_binary64`
5×	`times-frac_binary64`
3×	`difference-of-squares_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `div-inv_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

23.0ms	(+.f64 x (/.f64 (-.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))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
16.0ms	(-.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)))
6.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
6.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 3404 to 1265 computations (62.8% saved)

series10.0s (19.5%)

Error

0.1b

Counts

4 → 60

Calls

4 calls:

7.5s	(+.f64 x (/.f64 (-.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))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
1.6s	(-.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)))
358.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
345.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 9277 to 4217 computations (54.5% saved)

simplify177.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

577×	`times-frac_binary64`
381×	`associate-/l*_binary64`
317×	`associate-r_binary64`
289×	`associate-/r*_binary64`
244×	`associate-l_binary64`
137×	`associate-*l/_binary64`
121×	`*-commutative_binary64`
118×	`+-commutative_binary64`
115×	`associate-*r/_binary64`
84×	`sub-neg_binary64`
82×	`associate-+r+_binary64`
55×	`sqr-pow_binary64`
40×	`associate-/r/_binary64`
39×	`distribute-rgt-in_binary64`
35×	`distribute-lft-in_binary64`
31×	`neg-mul-1_binary64`
29×	`neg-sub0_binary64`
26×	`unswap-sqr_binary64` `associate--l+_binary64`
23×	`distribute-rgt-neg-in_binary64`
22×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64`
19×	`associate-/l/_binary64`
18×	`unpow3_binary64`
15×	`cube-mult_binary64`
13×	`distribute-neg-in_binary64`
12×	`distribute-lft-neg-out_binary64`
11×	`distribute-lft-neg-in_binary64`
7×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-prod_binary64` `div-sub_binary64`
5×	`cube-div_binary64`
4×	`exp-prod_binary64` `cube-unmult_binary64` `swap-sqr_binary64` `distribute-rgt-neg-out_binary64` `associate--r+_binary64`
3×	`exp-sum_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `difference-of-squares_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `mul-1-neg_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` `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` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

138 → 96

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	7734
1	1393	7508
2	4989	7508
3	4979	7508

prune244.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Error

0.1b

Counts

106 → 10

Compiler

Compiled 6019 to 2023 computations (66.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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 (sin.f64 z) (sin.f64 y))
0.2b	(/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite213.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

21×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
8×	`pow1_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `associate-r_binary64` `times-frac_binary64`
4×	`tan-quot_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
3×	`difference-of-squares_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `div-inv_binary64` `sin-mult_binary64`
1×	`frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `cos-mult_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

4 → 86

Calls

4 calls:

15.0ms	(-.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 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))
6.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(*.f64 (sin.f64 z) (sin.f64 y))

Compiler

Compiled 4019 to 1341 computations (66.6% saved)

series2.4s (4.7%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

1.5s	(-.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)))
353.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
344.0ms	(/.f64 (.f64 (sin.f64 z) (sin.f64 y)) (.f64 (cos.f64 z) (cos.f64 y)))
149.0ms	(*.f64 (sin.f64 z) (sin.f64 y))

Compiler

Compiled 5307 to 2727 computations (48.6% saved)

simplify135.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

361×	`times-frac_binary64`
254×	`associate-/l*_binary64`
228×	`associate-r_binary64`
227×	`cancel-sign-sub-inv_binary64`
212×	`associate-l_binary64`
202×	`distribute-rgt-in_binary64`
168×	`associate-/r*_binary64`
162×	`*-commutative_binary64`
143×	`sub-neg_binary64`
141×	`+-commutative_binary64`
119×	`exp-prod_binary64`
116×	`associate-+r+_binary64`
109×	`distribute-rgt-neg-in_binary64`
105×	`associate-*l/_binary64`
96×	`associate-+l+_binary64`
87×	`distribute-lft-neg-in_binary64`
80×	`associate-*r/_binary64`
75×	`associate--l+_binary64`
61×	`log-div_binary64`
58×	`neg-mul-1_binary64` `neg-sub0_binary64` `sqr-pow_binary64`
54×	`log-prod_binary64`
47×	`distribute-neg-frac_binary64`
41×	`*-rgt-identity_binary64`
40×	`cube-prod_binary64`
36×	`unpow3_binary64`
34×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
30×	`/-rgt-identity_binary64`
29×	`unsub-neg_binary64` `associate-/r/_binary64`
27×	`*-lft-identity_binary64`
25×	`cube-div_binary64`
23×	`div-sub_binary64` `distribute-neg-in_binary64`
22×	`distribute-rgt-neg-out_binary64`
20×	`associate--r+_binary64`
17×	`exp-diff_binary64`
16×	`distribute-rgt-out_binary64`
15×	`distribute-lft-in_binary64` `associate-/l/_binary64`
13×	`distribute-lft-out--_binary64`
12×	`cube-unmult_binary64`
11×	`distribute-lft-out_binary64`
10×	`cube-mult_binary64`
9×	`exp-sum_binary64` `distribute-rgt1-in_binary64`
7×	`distribute-rgt-out--_binary64`
4×	`log-rec_binary64` `distribute-frac-neg_binary64`
3×	`+-rgt-identity_binary64` `div0_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
2×	`unpow1/2_binary64` `pow-sqr_binary64` `unswap-sqr_binary64` `distribute-lft1-in_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `remove-double-div_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` `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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

131 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	3961
1	897	3625
2	3708	3464
3	4836	3464
4	4969	3464

prune145.0ms (0.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Error

0.1b

Counts

93 → 10

Compiler

Compiled 3848 to 1243 computations (67.7% saved)

regimes3.8s (7.4%)

Accuracy

Total 0.1b remaining (72%)

Threshold costs 0.1b (72%)

Compiler

Compiled 54817 to 32287 computations (41.1% saved)

bsearch0.0ms (0%)

simplify13.0ms (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

Remove

(sort y z)

Compiler

Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

sample6.3s (12.3%)

Algorithm

1×

intervals

Results

1.1s	4515×	body	1024	valid
530.0ms	8000×	pre	128	true
220.0ms	1395×	body	512	valid
140.0ms	236×	body	2048	valid
74.0ms	1343×	body	128	valid
54.0ms	511×	body	256	valid

Compiler

Compiled 6026 to 3553 computations (41% 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

analyze20.1s (39.3%)

sample115.0ms (0.2%)

simplify18.0ms (0%)

prune3.0ms (0%)

localize16.0ms (0%)

rewrite84.0ms (0.2%)

series1.9s (3.7%)

simplify144.0ms (0.3%)

prune125.0ms (0.2%)

localize22.0ms (0%)

rewrite283.0ms (0.6%)

series4.2s (8.2%)

simplify160.0ms (0.3%)

prune247.0ms (0.5%)

localize21.0ms (0%)

rewrite214.0ms (0.4%)

series10.0s (19.5%)

simplify177.0ms (0.3%)

prune244.0ms (0.5%)

localize32.0ms (0.1%)

rewrite213.0ms (0.4%)

series2.4s (4.7%)

simplify135.0ms (0.3%)

prune145.0ms (0.3%)

regimes3.8s (7.4%)

bsearch0.0ms (0%)

simplify13.0ms (0%)

end0.0ms (0%)

sample6.3s (12.3%)

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