Details

analyze1.1s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`associate-/l*_binary64`
4×	`associate-/r/_binary64` `associate-l/_binary64` `associate-r/_binary64`
3×	`+-commutative_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` `1-exp_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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-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-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_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	23	56
1	36	56
2	48	56
3	62	56
4	66	56
5	66	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample70.0ms (0.7%)

Algorithm

1×

intervals

Results

35.0ms	106×	body	1024	valid
11.0ms	52×	body	512	valid
5.0ms	72×	body	128	valid
4.0ms	7×	body	2048	valid
3.0ms	19×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-/r/_binary64` `associate-l/_binary64` `associate-r/_binary64` `+-commutative_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` `1-exp_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-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` `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-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-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	14
3	20	14
4	21	14
5	21	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

16.3b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.1b	(cos.f64 (+.f64 a b))

rewrite92.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`cos-sum_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1153 to 228 computations (80.2% saved)

series152.0ms (1.6%)

Error

14.1b

Counts

3 → 38

Calls

3 calls:

60.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
38.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
18.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1723 to 1129 computations (34.5% saved)

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

583×	`associate-/r*_binary64`
414×	`associate-*l/_binary64`
386×	`associate-*r/_binary64`
289×	`associate-/r/_binary64`
222×	`associate-/l/_binary64`
191×	`associate-r_binary64`
167×	`associate-l_binary64`
154×	`associate-/l*_binary64`
128×	`times-frac_binary64`
108×	`*-commutative_binary64`
101×	`unswap-sqr_binary64`
95×	`associate-+r+_binary64`
79×	`+-commutative_binary64`
73×	`cancel-sign-sub-inv_binary64`
65×	`associate-+l+_binary64`
50×	`sqr-pow_binary64`
34×	`*-rgt-identity_binary64` `distribute-rgt-neg-in_binary64`
33×	`sub-neg_binary64`
28×	`distribute-lft-neg-in_binary64`
26×	`cube-prod_binary64`
25×	`log-prod_binary64` `unpow3_binary64`
23×	`*-lft-identity_binary64`
19×	`log-div_binary64`
17×	`cube-div_binary64`
16×	`neg-mul-1_binary64` `neg-sub0_binary64`
12×	`exp-prod_binary64` `cube-unmult_binary64`
10×	`/-rgt-identity_binary64`
9×	`cube-mult_binary64`
8×	`distribute-rgt-out_binary64` `associate--r+_binary64`
7×	`unpow1/2_binary64`
6×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `distribute-lft-neg-out_binary64`
5×	`swap-sqr_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
4×	`unsub-neg_binary64` `distribute-neg-in_binary64`
3×	`log-pow_binary64`
2×	`distribute-neg-frac_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64` `distribute-lft-in_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-rec_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-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` `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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

105 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2485
1	581	2339
2	2174	2286
3	4949	2286
4	4987	2286
5	4981	2286

prune93.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	13	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Error

0.2b

Counts

94 → 13

Compiler

Compiled 1783 to 619 computations (65.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.1b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite177.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `associate-/r/_binary64`
7×	`sin-mult_binary64`
6×	`add-log-exp_binary64` `cos-mult_binary64` `associate-l_binary64`
3×	`frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `associate-/r_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `pow-prod-down_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-*r/_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
8.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
8.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2800 to 419 computations (85% saved)

series255.0ms (2.7%)

Error

0.1b

Counts

4 → 47

Calls

4 calls:

101.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
58.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
32.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
24.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2404 to 1524 computations (36.6% saved)

simplify182.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-/r/_binary64`
285×	`associate-r_binary64`
278×	`associate-/l/_binary64`
252×	`associate-l_binary64`
206×	`cancel-sign-sub-inv_binary64`
198×	`associate-/l*_binary64`
172×	`distribute-rgt-neg-in_binary64`
155×	`unswap-sqr_binary64`
151×	`*-commutative_binary64`
149×	`distribute-lft-neg-in_binary64`
146×	`times-frac_binary64`
100×	`+-commutative_binary64`
97×	`associate-+r+_binary64`
87×	`associate-/r*_binary64`
81×	`exp-prod_binary64`
74×	`associate-*r/_binary64`
69×	`associate-+l+_binary64`
68×	`sqr-pow_binary64`
66×	`sub-neg_binary64`
60×	`associate-*l/_binary64`
53×	`log-prod_binary64` `distribute-rgt-in_binary64`
49×	`*-rgt-identity_binary64`
46×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-lft-in_binary64`
42×	`log-div_binary64`
35×	`*-lft-identity_binary64`
31×	`div-sub_binary64` `distribute-rgt-out_binary64`
21×	`distribute-neg-frac_binary64`
20×	`/-rgt-identity_binary64`
19×	`unpow3_binary64` `cube-prod_binary64` `distribute-lft-neg-out_binary64`
13×	`distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
11×	`cube-div_binary64` `swap-sqr_binary64` `associate--l+_binary64` `associate--r+_binary64`
10×	`exp-sum_binary64`
9×	`difference-of-squares_binary64`
8×	`log-rec_binary64` `unpow1/2_binary64` `cube-mult_binary64` `unsub-neg_binary64` `distribute-lft-out_binary64`
6×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-unmult_binary64`
5×	`exp-diff_binary64` `distribute-rgt-neg-out_binary64`
4×	`distribute-lft-out--_binary64`
3×	`pow-sqr_binary64` `associate--r-_binary64`
2×	`rem-sqrt-square_binary64` `remove-double-neg_binary64` `associate-+r-_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `+-inverses_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` `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` `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-square-sqrt_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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` `count-2_binary64` `associate--l-_binary64`

Counts

147 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	4558
1	768	4259
2	2961	3928
3	4848	3928
4	4991	3928
5	4962	3928

prune160.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	114	13	127
Fresh	12	0	12
Picked	1	0	1
Done	0	0	0
Total	127	13	140

Error

0.0b

Counts

140 → 13

Compiler

Compiled 3214 to 945 computations (70.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3))))
0.3b	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
27.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

rewrite265.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`times-frac_binary64`
16×	`associate-r_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`cbrt-prod_binary64`
6×	`associate-/r/_binary64`
4×	`add-log-exp_binary64` `sin-mult_binary64` `cube-div_binary64`
3×	`cbrt-div_binary64` `pow-unpow_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l_binary64`
2×	`unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `cos-mult_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `unswap-sqr_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-to-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

14.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
12.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3))))
7.0ms	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

Compiler

Compiled 3241 to 1182 computations (63.5% saved)

series280.0ms (3%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

101.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)))))
58.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 a) (sin.f64 b)) 3))))
41.0ms	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
26.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

Compiler

Compiled 2626 to 1698 computations (35.3% saved)

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

295×	`associate-r_binary64`
270×	`unswap-sqr_binary64`
249×	`associate-l_binary64`
241×	`associate-/l/_binary64`
188×	`log-prod_binary64`
178×	`cancel-sign-sub-inv_binary64`
177×	`associate-/l*_binary64`
174×	`distribute-rgt-neg-in_binary64`
167×	`distribute-lft-neg-in_binary64`
142×	`*-commutative_binary64`
130×	`times-frac_binary64`
95×	`associate-+r+_binary64`
91×	`sqr-pow_binary64`
90×	`+-commutative_binary64`
77×	`associate-/r*_binary64`
72×	`associate-*r/_binary64`
67×	`associate-+l+_binary64`
65×	`exp-prod_binary64`
54×	`distribute-rgt-in_binary64`
53×	`associate-*l/_binary64`
51×	`distribute-lft-in_binary64`
49×	`swap-sqr_binary64`
44×	`cube-prod_binary64`
41×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
40×	`*-rgt-identity_binary64`
33×	`associate-/r/_binary64`
26×	`*-lft-identity_binary64`
20×	`log-pow_binary64` `log-div_binary64`
19×	`distribute-neg-frac_binary64`
18×	`distribute-rgt-out_binary64`
14×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
11×	`unpow3_binary64` `cube-unmult_binary64`
10×	`cube-mult_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
8×	`distribute-neg-in_binary64`
7×	`unpow1/2_binary64` `unpow1_binary64` `cube-div_binary64` `distribute-rgt-neg-out_binary64`
6×	`unpow2_binary64` `distribute-lft-out--_binary64`
5×	`rem-sqrt-square_binary64`
4×	`pow-plus_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
3×	`unsub-neg_binary64`
2×	`count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `associate--r-_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-rec_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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l-_binary64`

Counts

151 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4368
1	768	4081
2	2964	3950
3	4903	3950
4	5047	3950

prune195.0ms (2.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	6	6	12
Picked	0	1	1
Done	0	0	0
Total	132	12	144

Error

0.0b

Counts

144 → 12

Compiler

Compiled 3368 to 1121 computations (66.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 a) (sin.f64 b))
0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))))
0.3b	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
27.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

rewrite192.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `sin-mult_binary64`
3×	`cube-div_binary64` `pow-unpow_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
2×	`cbrt-div_binary64` `unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-to-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `cos-mult_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

11.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))))
5.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
4.0ms	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

Compiler

Compiled 2188 to 724 computations (66.9% saved)

series250.0ms (2.6%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

102.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))))
45.0ms	(pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3)
27.0ms	(*.f64 (sin.f64 a) (sin.f64 b))
26.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) 3))

Compiler

Compiled 2429 to 1571 computations (35.3% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

284×	`associate-/l/_binary64`
263×	`associate-/r/_binary64`
251×	`unswap-sqr_binary64`
231×	`associate-r_binary64`
212×	`log-prod_binary64`
210×	`distribute-rgt-neg-in_binary64`
205×	`associate-l_binary64`
193×	`distribute-lft-neg-in_binary64`
176×	`cancel-sign-sub-inv_binary64`
132×	`associate-/l*_binary64`
115×	`*-commutative_binary64`
110×	`times-frac_binary64`
92×	`sqr-pow_binary64`
83×	`exp-prod_binary64`
67×	`swap-sqr_binary64`
57×	`distribute-rgt-in_binary64`
55×	`+-commutative_binary64`
54×	`associate-/r*_binary64`
53×	`distribute-lft-in_binary64`
47×	`sub-neg_binary64`
45×	`cube-prod_binary64`
44×	`neg-mul-1_binary64` `neg-sub0_binary64` `associate-+r+_binary64`
40×	`associate-*l/_binary64`
33×	`associate-*r/_binary64`
32×	`associate-+l+_binary64`
26×	`log-div_binary64` `*-rgt-identity_binary64`
21×	`distribute-neg-frac_binary64`
20×	`log-pow_binary64`
16×	`distribute-rgt-out_binary64`
14×	`div-sub_binary64` `distribute-lft-neg-out_binary64`
12×	`*-lft-identity_binary64`
11×	`unpow3_binary64` `cube-div_binary64` `pow-sqr_binary64`
10×	`cube-mult_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
9×	`cube-unmult_binary64`
8×	`distribute-neg-in_binary64`
7×	`unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-neg-out_binary64`
6×	`unpow2_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
4×	`pow-plus_binary64` `rem-cbrt-cube_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
2×	`log-rec_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `*-inverses_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-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` `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` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

126 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	2756
1	606	2566
2	2379	2494
3	4852	2494
4	5004	2494

prune135.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	8	10
Picked	1	0	1
Done	1	0	1
Total	103	10	113

Error

0.0b

Counts

113 → 10

Compiler

Compiled 1973 to 616 computations (68.8% saved)

regimes3.2s (33.5%)

Accuracy

Total 0.3b remaining (82.5%)

Threshold costs 0.3b (82.5%)

Compiler

Compiled 46371 to 29284 computations (36.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
1×	`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` `1-exp_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	13	26
1	21	26
2	31	26
3	37	26
4	41	26
5	42	26
6	42	26

end1.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

sample2.3s (24.2%)

Algorithm

1×

intervals

Results

1.0s	3535×	body	1024	valid
286.0ms	1383×	body	512	valid
152.0ms	2310×	body	128	valid
110.0ms	194×	body	2048	valid
80.0ms	578×	body	256	valid

Compiler

Compiled 355 to 213 computations (40% saved)

Details

analyze1.1s (11.1%)

sample70.0ms (0.7%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite92.0ms (1%)

series152.0ms (1.6%)

simplify126.0ms (1.3%)

prune93.0ms (1%)

localize14.0ms (0.1%)

rewrite177.0ms (1.9%)

series255.0ms (2.7%)

simplify182.0ms (1.9%)

prune160.0ms (1.7%)

localize17.0ms (0.2%)

rewrite265.0ms (2.8%)

series280.0ms (3%)

simplify152.0ms (1.6%)

prune195.0ms (2.1%)

localize16.0ms (0.2%)

rewrite192.0ms (2%)

series250.0ms (2.6%)

simplify115.0ms (1.2%)

prune135.0ms (1.4%)

regimes3.2s (33.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.3s (24.2%)

Profiling