Details

analyze1.2s (12%)

Algorithm

1×	search
2×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`associate-/r/_binary64` `associate-/l*_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-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	50	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)

sample69.0ms (0.7%)

Algorithm

1×

intervals

Results

37.0ms	115×	body	1024	valid
9.0ms	45×	body	512	valid
5.0ms	69×	body	128	valid
3.0ms	6×	body	2048	valid
3.0ms	21×	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-/r/_binary64` `associate-/l*_binary64`
1×	`+-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-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	17	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

16.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 r (sin.f64 b))
0.2b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.3b	(cos.f64 (+.f64 a b))

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

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

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 703 to 152 computations (78.4% saved)

series129.0ms (1.3%)

Error

14.8b

Counts

3 → 34

Calls

3 calls:

64.0ms	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
21.0ms	(*.f64 r (sin.f64 b))
19.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1269 to 849 computations (33.1% saved)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/r*_binary64`
371×	`associate-*l/_binary64`
294×	`associate-*r/_binary64`
293×	`associate-/l/_binary64`
272×	`associate-/r/_binary64`
213×	`sub-neg_binary64`
158×	`cancel-sign-sub-inv_binary64`
156×	`associate-+l+_binary64`
153×	`sqr-pow_binary64`
140×	`associate-r_binary64`
121×	`associate-+r+_binary64`
116×	`associate-l_binary64`
114×	`associate-/l*_binary64`
103×	`neg-mul-1_binary64`
90×	`times-frac_binary64` `neg-sub0_binary64`
88×	`*-rgt-identity_binary64`
79×	`distribute-rgt-neg-in_binary64`
76×	`*-commutative_binary64`
69×	`distribute-lft-neg-in_binary64`
56×	`unswap-sqr_binary64`
54×	`*-lft-identity_binary64`
49×	`log-div_binary64` `cube-prod_binary64`
46×	`cube-div_binary64`
45×	`+-commutative_binary64`
42×	`log-prod_binary64`
29×	`/-rgt-identity_binary64`
28×	`unpow3_binary64` `associate--l+_binary64` `associate-+l-_binary64`
27×	`unsub-neg_binary64`
26×	`exp-prod_binary64`
23×	`cube-mult_binary64` `pow-sqr_binary64` `associate-+r-_binary64`
16×	`+-rgt-identity_binary64`
14×	`associate--r+_binary64`
13×	`distribute-rgt-out_binary64`
11×	`log-rec_binary64` `sub0-neg_binary64`
10×	`distribute-neg-frac_binary64` `distribute-rgt-out--_binary64`
9×	`cube-unmult_binary64`
8×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `distribute-lft-neg-out_binary64` `associate--l-_binary64`
7×	`pow-plus_binary64` `remove-double-neg_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `swap-sqr_binary64` `distribute-neg-in_binary64` `distribute-rgt-in_binary64`
5×	`distribute-lft-out--_binary64`
4×	`div-sub_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64`
2×	`div0_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `+-inverses_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` `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` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

81 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1453
1	439	1331
2	1605	1299
3	4520	1299
4	4748	1299
5	4957	1299

prune59.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	6	63

Error

0.3b

Counts

63 → 6

Compiler

Compiled 913 to 331 computations (63.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite135.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 76

Calls

4 calls:

8.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
4.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
4.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1874 to 293 computations (84.4% saved)

series215.0ms (2.1%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

107.0ms	(/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
35.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
26.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
24.0ms	(*.f64 r (sin.f64 b))

Compiler

Compiled 1945 to 1223 computations (37.1% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

583×	`associate-/r*_binary64`
359×	`associate-/l/_binary64`
338×	`associate-/r/_binary64`
272×	`cancel-sign-sub-inv_binary64`
215×	`associate-r_binary64`
207×	`distribute-rgt-neg-in_binary64`
187×	`associate-l_binary64`
181×	`distribute-lft-neg-in_binary64`
150×	`associate-/l*_binary64`
112×	`times-frac_binary64`
110×	`*-commutative_binary64`
107×	`unswap-sqr_binary64`
87×	`sub-neg_binary64`
68×	`sqr-pow_binary64`
63×	`+-commutative_binary64`
58×	`distribute-rgt-in_binary64`
53×	`neg-mul-1_binary64` `neg-sub0_binary64`
49×	`distribute-lft-in_binary64`
45×	`div-sub_binary64` `associate-*l/_binary64`
41×	`*-rgt-identity_binary64`
37×	`associate-*r/_binary64`
34×	`associate-+r+_binary64`
33×	`exp-prod_binary64` `distribute-rgt-out_binary64`
28×	`associate-+l+_binary64`
23×	`log-div_binary64`
21×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
19×	`cube-prod_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64`
17×	`log-prod_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
15×	`distribute-neg-in_binary64` `associate--r+_binary64`
12×	`cube-div_binary64` `swap-sqr_binary64`
11×	`unsub-neg_binary64`
10×	`distribute-lft-out_binary64`
8×	`unpow3_binary64`
7×	`cube-mult_binary64` `distribute-lft-out--_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
5×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
4×	`log-rec_binary64` `exp-sum_binary64` `cube-unmult_binary64`
3×	`pow-sqr_binary64` `associate--r-_binary64`
2×	`log-pow_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `associate-+r-_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `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` `associate-+l-_binary64`

Counts

118 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2728
1	603	2504
2	2298	2291
3	4964	2291

prune79.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	64	10	74
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Error

0.1b

Counts

80 → 11

Compiler

Compiled 1654 to 549 computations (66.8% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (cos.f64 a) 2)
0.3b	(pow.f64 (sin.f64 b) 2)
0.3b	(pow.f64 (sin.f64 a) 2)
0.3b	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite257.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `times-frac_binary64` `unpow-prod-down_binary64` `pow-unpow_binary64`
7×	`pow1_binary64`
6×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow2_binary64` `sqr-pow_binary64`
2×	`associate-/l/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64` `sin-mult_binary64` `cos-mult_binary64` `frac-add_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
3.0ms	(pow.f64 (sin.f64 b) 2)
3.0ms	(pow.f64 (sin.f64 a) 2)
2.0ms	(pow.f64 (cos.f64 a) 2)

Compiler

Compiled 4134 to 1683 computations (59.3% saved)

series153.0ms (1.5%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

92.0ms	(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
13.0ms	(pow.f64 (cos.f64 a) 2)
12.0ms	(pow.f64 (sin.f64 a) 2)
12.0ms	(pow.f64 (sin.f64 b) 2)

Compiler

Compiled 1751 to 1076 computations (38.5% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/l*_binary64`
356×	`times-frac_binary64`
252×	`unswap-sqr_binary64`
217×	`distribute-rgt-in_binary64`
204×	`distribute-lft-in_binary64`
195×	`associate-/l/_binary64`
186×	`cancel-sign-sub-inv_binary64`
145×	`associate-l_binary64` `associate-r_binary64`
137×	`distribute-rgt-neg-in_binary64`
123×	`associate-/r/_binary64`
120×	`distribute-lft-neg-in_binary64`
100×	`sqr-pow_binary64`
61×	`sub-neg_binary64`
59×	`distribute-neg-frac_binary64`
55×	`*-commutative_binary64`
46×	`div-sub_binary64`
44×	`neg-mul-1_binary64` `neg-sub0_binary64`
36×	`distribute-rgt-out_binary64`
31×	`cube-prod_binary64`
30×	`+-commutative_binary64`
28×	`pow-sqr_binary64`
21×	`distribute-lft-out_binary64`
20×	`log-prod_binary64`
19×	`distribute-lft-neg-out_binary64`
18×	`swap-sqr_binary64`
17×	`associate-/r*_binary64`
15×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
14×	`exp-prod_binary64`
13×	`cube-unmult_binary64`
12×	`pow-plus_binary64` `distribute-neg-in_binary64` `associate-*l/_binary64`
10×	`unpow3_binary64` `associate--r+_binary64`
8×	`associate-*r/_binary64`
7×	`cube-mult_binary64` `unsub-neg_binary64` `*-rgt-identity_binary64` `associate--l+_binary64`
6×	`rem-sqrt-square_binary64` `/-rgt-identity_binary64`
5×	`log-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64`
3×	`cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `difference-of-squares_binary64` `associate-+l+_binary64`
2×	`distribute-rgt1-in_binary64` `associate-+r+_binary64`
1×	`exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-lft-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-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-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-lft_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` `+-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-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

111 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	3375
1	484	3070
2	1717	2551
3	5480	2551

prune140.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	75	13	88

Error

0.1b

Counts

88 → 13

Compiler

Compiled 2933 to 1217 computations (58.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (.f64 r (sin.f64 b)) (/.f64 1 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
0.2b	(/.f64 1 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite747.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

308×	`times-frac_binary64`
140×	`add-sqr-sqrt_binary64`
138×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
108×	`add-exp-log_binary64`
76×	`associate-/r*_binary64`
70×	`div-exp_binary64`
48×	`associate-/r/_binary64`
34×	`add-cbrt-cube_binary64`
23×	`sin-mult_binary64`
22×	`1-exp_binary64` `rec-exp_binary64` `cos-mult_binary64`
16×	`cbrt-undiv_binary64`
15×	`div-inv_binary64`
14×	`prod-exp_binary64`
11×	`frac-sub_binary64` `sub-div_binary64` `flip3--_binary64` `flip--_binary64`
9×	`pow1_binary64`
7×	`associate-/l*_binary64`
5×	`pow-flip_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64`
3×	`inv-pow_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-l_binary64` `associate-r_binary64`
1×	`remove-double-div_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 311

Calls

4 calls:

18.0ms	(/.f64 (.f64 r (sin.f64 b)) (/.f64 1 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
11.0ms	(/.f64 1 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
8.0ms	(/.f64 1 (-.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 10875 to 3485 computations (68% saved)

series271.0ms (2.7%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

105.0ms	(/.f64 (.f64 r (sin.f64 b)) (/.f64 1 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
56.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
35.0ms	(/.f64 1 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
25.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2361 to 1524 computations (35.5% saved)

simplify415.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

289×	`associate-/l*_binary64`
273×	`associate-/r/_binary64`
264×	`times-frac_binary64`
214×	`associate-r_binary64`
205×	`associate-l_binary64`
202×	`associate-/l/_binary64`
198×	`*-commutative_binary64`
189×	`cancel-sign-sub-inv_binary64`
170×	`associate-*l/_binary64`
163×	`associate-/r*_binary64`
134×	`unswap-sqr_binary64`
123×	`sub-neg_binary64`
108×	`log-div_binary64`
106×	`associate-*r/_binary64`
97×	`log-prod_binary64`
86×	`exp-prod_binary64`
84×	`cube-div_binary64` `+-commutative_binary64`
80×	`*-rgt-identity_binary64`
75×	`associate-+r+_binary64`
65×	`div-sub_binary64`
58×	`sqr-pow_binary64`
53×	`neg-mul-1_binary64`
50×	`neg-sub0_binary64`
47×	`/-rgt-identity_binary64` `associate-+l+_binary64`
40×	`unpow3_binary64` `distribute-rgt-in_binary64`
36×	`distribute-lft-in_binary64`
34×	`cube-prod_binary64`
33×	`cube-mult_binary64`
29×	`*-lft-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
26×	`distribute-neg-frac_binary64`
23×	`distribute-lft-neg-in_binary64`
21×	`distribute-neg-in_binary64`
19×	`log-rec_binary64` `unsub-neg_binary64`
18×	`associate--r+_binary64`
14×	`associate--l+_binary64`
13×	`distribute-rgt-neg-out_binary64`
11×	`exp-sum_binary64` `cube-unmult_binary64` `remove-double-div_binary64` `associate--r-_binary64`
7×	`unpow1/2_binary64` `associate-+r-_binary64`
6×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-diff_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-neg-out_binary64`
4×	`remove-double-neg_binary64` `--rgt-identity_binary64`
3×	`distribute-rgt-out_binary64`
2×	`rem-sqrt-square_binary64` `*-inverses_binary64` `+-inverses_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt-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` `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-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` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

355 → 329

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	12897
1	973	11813
2	3826	11461
3	4691	11461
4	4992	11461
5	4970	11461

prune416.0ms (4.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	321	8	329
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	330	12	342

Error

0.0b

Counts

342 → 12

Compiler

Compiled 5905 to 1769 computations (70% saved)

regimes3.0s (29.8%)

Accuracy

Total 0.3b remaining (84.9%)

Threshold costs 0.3b (84.9%)

Compiler

Compiled 52034 to 32452 computations (37.6% 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×	`1-exp_binary64` `/-rgt-identity_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-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	16	26
1	26	26
2	35	26
3	41	26
4	45	26
5	46	26
6	44	26

end1.0ms (0%)

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

sample2.4s (23.7%)

Algorithm

1×

intervals

Results

992.0ms	3418×	body	1024	valid
305.0ms	1431×	body	512	valid
171.0ms	2333×	body	128	valid
95.0ms	166×	body	2048	valid
91.0ms	652×	body	256	valid
1.0ms	3×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 440 to 293 computations (33.4% saved)

Details

analyze1.2s (12%)

sample69.0ms (0.7%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite60.0ms (0.6%)

series129.0ms (1.3%)

simplify99.0ms (1%)

prune59.0ms (0.6%)

localize15.0ms (0.2%)

rewrite135.0ms (1.3%)

series215.0ms (2.1%)

simplify86.0ms (0.9%)

prune79.0ms (0.8%)

localize23.0ms (0.2%)

rewrite257.0ms (2.5%)

series153.0ms (1.5%)

simplify94.0ms (0.9%)

prune140.0ms (1.4%)

localize18.0ms (0.2%)

rewrite747.0ms (7.4%)

series271.0ms (2.7%)

simplify415.0ms (4.1%)

prune416.0ms (4.1%)

regimes3.0s (29.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.4s (23.7%)

Profiling