Details

analyze294.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

638×	`distribute-rgt-in_binary64`
571×	`associate-/r*_binary64`
512×	`distribute-lft-in_binary64`
407×	`associate-*l/_binary64`
376×	`div-sub_binary64`
345×	`associate-*r/_binary64`
236×	`neg-mul-1_binary64`
212×	`associate-/l*_binary64`
210×	`associate-l_binary64`
203×	`associate-r_binary64`
128×	`times-frac_binary64`
118×	`cancel-sign-sub-inv_binary64`
100×	`distribute-rgt-neg-out_binary64`
86×	`associate-/r/_binary64`
84×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64`
81×	`associate-/l/_binary64`
76×	`sub-neg_binary64`
67×	`*-commutative_binary64`
60×	`distribute-frac-neg_binary64`
52×	`distribute-rgt-neg-in_binary64`
42×	`distribute-lft-neg-in_binary64`
41×	`neg-sub0_binary64`
37×	`distribute-neg-frac_binary64`
36×	`distribute-rgt-out_binary64`
26×	`*-rgt-identity_binary64`
25×	`*-lft-identity_binary64`
20×	`distribute-neg-in_binary64` `associate--r+_binary64`
19×	`+-commutative_binary64`
15×	`mul0-rgt_binary64` `mul0-lft_binary64`
14×	`mul-1-neg_binary64` `/-rgt-identity_binary64`
12×	`sub0-neg_binary64` `div0_binary64`
8×	`distribute-lft-out_binary64`
6×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
4×	`+-lft-identity_binary64`
2×	`sqr-neg_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+l+_binary64`
1×	`1-exp_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` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `--rgt-identity_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` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	58	58
2	163	58
3	626	58
4	2151	54
5	4896	54
6	5007	54
0	2	2
1	2	2

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
15.6%	84.3%	0.1%	6
37.5%	62.4%	0.1%	7
46.8%	53.1%	0.1%	8
57.8%	39.8%	2.4%	9
64.6%	30.4%	5%	10
71.8%	20.3%	7.9%	11
74.1%	16.2%	9.7%	12
77.4%	10.7%	12%	13
78.6%	8.4%	13%	14

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 43 to 37 computations (14% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

693×	`div-sub_binary64`
599×	`times-frac_binary64`
519×	`associate-/l*_binary64`
508×	`sub-neg_binary64`
357×	`associate-/l/_binary64`
274×	`distribute-rgt-in_binary64`
246×	`associate-/r*_binary64`
233×	`unsub-neg_binary64`
229×	`distribute-lft-in_binary64`
221×	`associate-/r/_binary64`
205×	`associate-*l/_binary64`
199×	`neg-mul-1_binary64`
192×	`neg-sub0_binary64`
176×	`associate-*r/_binary64`
153×	`*-commutative_binary64`
150×	`cancel-sign-sub-inv_binary64`
109×	`associate-l_binary64`
105×	`associate-r_binary64`
70×	`distribute-rgt-neg-out_binary64`
66×	`distribute-lft-neg-out_binary64`
35×	`distribute-frac-neg_binary64`
29×	`associate-+r+_binary64`
26×	`associate-+l+_binary64`
25×	`distribute-rgt-neg-in_binary64`
23×	`*-lft-identity_binary64` `distribute-lft-neg-in_binary64`
22×	`*-rgt-identity_binary64` `mul0-rgt_binary64`
20×	`mul0-lft_binary64`
18×	`div0_binary64` `distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
15×	`/-rgt-identity_binary64`
12×	`sub0-neg_binary64` `associate-+l-_binary64` `+-commutative_binary64`
10×	`mul-1-neg_binary64`
9×	`distribute-neg-in_binary64`
8×	`associate--r+_binary64`
6×	`associate-+r-_binary64`
4×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
3×	`--rgt-identity_binary64` `distribute-rgt-out--_binary64`
2×	`remove-double-neg_binary64` `+-lft-identity_binary64` `difference-of-squares_binary64`
1×	`1-exp_binary64` `sqr-neg_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` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	36	29
2	93	29
3	336	29
4	1152	29
5	3231	29
6	4534	29
7	5241	29

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

15.7b

Counts

2 → 2

Compiler

Compiled 59 to 47 computations (20.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
0.6b	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
5.0b	(-.f64 (.f64 b b) (.f64 a a))
9.7b	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite460.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

9.5b

Rules

86×	`add-sqr-sqrt_binary64`
76×	`times-frac_binary64`
63×	`*-un-lft-identity_binary64`
62×	`add-exp-log_binary64`
45×	`add-cube-cbrt_binary64`
37×	`associate-r_binary64`
36×	`add-cbrt-cube_binary64`
27×	`cancel-sign-sub-inv_binary64`
25×	`prod-exp_binary64`
18×	`div-exp_binary64`
17×	`frac-times_binary64` `difference-of-squares_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64`
13×	`cbrt-unprod_binary64`
12×	`pow1_binary64`
9×	`cbrt-undiv_binary64` `associate-*l/_binary64` `div-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64` `associate-*r/_binary64`
7×	`distribute-lft-out--_binary64`
6×	`add-log-exp_binary64` `unswap-sqr_binary64`
5×	`1-exp_binary64` `rec-exp_binary64` `frac-sub_binary64` `un-div-inv_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 203

Calls

4 calls:

32.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
15.0ms	(.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
6.0ms	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 6463 to 3420 computations (47.1% saved)

series145.0ms (1.7%)

Error

10.0b

Counts

4 → 45

Calls

4 calls:

41.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
31.0ms	(.f64 (/.f64 PI.f64 2) (/.f64 1 (-.f64 (.f64 b b) (*.f64 a a))))
27.0ms	(-.f64 (.f64 b b) (.f64 a a))
26.0ms	(/.f64 1 (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 1764 to 1519 computations (13.9% saved)

simplify226.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-l_binary64`
400×	`associate-r_binary64`
312×	`*-commutative_binary64`
304×	`associate-*l/_binary64`
267×	`associate-*r/_binary64`
180×	`distribute-rgt-neg-out_binary64`
157×	`exp-prod_binary64`
156×	`associate-/l*_binary64`
134×	`cancel-sign-sub-inv_binary64`
128×	`times-frac_binary64`
121×	`distribute-neg-frac_binary64`
112×	`associate-/r*_binary64`
97×	`neg-sub0_binary64`
91×	`distribute-rgt-in_binary64`
88×	`distribute-lft-in_binary64`
87×	`neg-mul-1_binary64`
86×	`sub-neg_binary64`
75×	`*-rgt-identity_binary64`
70×	`*-lft-identity_binary64`
64×	`log-prod_binary64`
55×	`div-sub_binary64`
54×	`sqr-pow_binary64`
49×	`log-div_binary64`
48×	`+-commutative_binary64`
43×	`unswap-sqr_binary64`
36×	`distribute-lft-neg-out_binary64`
34×	`associate-/l/_binary64`
33×	`cube-prod_binary64` `distribute-rgt-neg-in_binary64`
32×	`swap-sqr_binary64`
26×	`unpow3_binary64` `associate-/r/_binary64`
24×	`/-rgt-identity_binary64`
22×	`exp-diff_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate-+l+_binary64`
20×	`cube-div_binary64` `distribute-frac-neg_binary64`
14×	`difference-of-squares_binary64`
13×	`exp-neg_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
12×	`exp-sqrt_binary64` `exp-sum_binary64` `unsub-neg_binary64`
11×	`cube-unmult_binary64` `associate-+r+_binary64`
10×	`log-rec_binary64`
7×	`pow-plus_binary64` `distribute-rgt-out_binary64`
6×	`unpow1/2_binary64` `cube-mult_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `associate--r+_binary64`
3×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l+_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `div0_binary64` `remove-double-div_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `distribute-neg-out_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` `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` `rec-exp_binary64` `prod-exp_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` `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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `count-2_binary64`

Counts

248 → 214

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	7056
1	984	6278
2	3889	6080
3	4731	6080
4	4948	6080

prune178.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	205	9	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	207	9	216

Error

9.5b

Counts

216 → 9

Compiler

Compiled 3156 to 1685 computations (46.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 b a))
0.1b	(.f64 (/.f64 PI.f64 2) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a))))
0.2b	(*.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a)))
9.7b	(.f64 (.f64 (/.f64 PI.f64 2) (*.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite626.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

350×	`add-exp-log_binary64`
183×	`prod-exp_binary64`
117×	`add-sqr-sqrt_binary64`
116×	`div-exp_binary64`
112×	`add-cbrt-cube_binary64`
99×	`times-frac_binary64`
97×	`*-un-lft-identity_binary64`
58×	`frac-times_binary64`
55×	`add-cube-cbrt_binary64`
51×	`cbrt-unprod_binary64`
41×	`1-exp_binary64` `rec-exp_binary64` `associate-r_binary64`
34×	`associate-*r/_binary64`
32×	`associate-l_binary64`
31×	`cbrt-undiv_binary64`
26×	`cancel-sign-sub-inv_binary64`
25×	`associate-*l/_binary64`
23×	`pow1_binary64`
16×	`difference-of-squares_binary64`
14×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out--_binary64`
12×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`
11×	`un-div-inv_binary64`
10×	`frac-sub_binary64` `div-inv_binary64`
9×	`unswap-sqr_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64`
3×	`-commutative_binary64` `inv-pow_binary64` `pow-flip_binary64` `distribute-lft-out_binary64` `associate-/l_binary64`
2×	`sub-neg_binary64`
1×	`flip3-+_binary64` `flip-+_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 345

Calls

4 calls:

40.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (*.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
25.0ms	(*.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a)))
19.0ms	(.f64 (/.f64 PI.f64 2) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a))))
6.0ms	(/.f64 1 (-.f64 b a))

Compiler

Compiled 11053 to 6653 computations (39.8% saved)

series142.0ms (1.7%)

Error

9.5b

Counts

4 → 48

Calls

4 calls:

37.0ms	(.f64 (.f64 (/.f64 PI.f64 2) (*.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a)))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
31.0ms	(/.f64 1 (-.f64 b a))
29.0ms	(.f64 (/.f64 PI.f64 2) (.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a))))
25.0ms	(*.f64 (/.f64 1 (+.f64 a b)) (/.f64 1 (-.f64 b a)))

Compiler

Compiled 2133 to 1768 computations (17.1% saved)

simplify312.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

517×	`*-commutative_binary64`
434×	`associate-*l/_binary64`
329×	`associate-*r/_binary64`
223×	`distribute-rgt-in_binary64`
212×	`distribute-lft-in_binary64`
174×	`associate-/l*_binary64`
137×	`exp-prod_binary64`
129×	`div-sub_binary64`
117×	`distribute-neg-frac_binary64`
112×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
110×	`associate-l_binary64`
109×	`neg-mul-1_binary64`
106×	`neg-sub0_binary64`
103×	`times-frac_binary64`
90×	`associate-/r*_binary64`
77×	`cube-prod_binary64`
74×	`-rgt-identity_binary64` `associate-r*_binary64`
71×	`log-prod_binary64`
64×	`+-commutative_binary64`
63×	`cube-div_binary64`
61×	`log-div_binary64`
50×	`sqr-pow_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
44×	`associate-+r+_binary64`
41×	`associate-+l-_binary64`
40×	`*-lft-identity_binary64`
37×	`associate-/l/_binary64`
36×	`distribute-lft-neg-out_binary64`
32×	`distribute-rgt-neg-in_binary64`
31×	`unswap-sqr_binary64`
30×	`unsub-neg_binary64`
28×	`distribute-rgt-neg-out_binary64`
27×	`exp-sum_binary64`
24×	`/-rgt-identity_binary64`
22×	`unpow3_binary64` `associate-+r-_binary64`
21×	`associate-/r/_binary64`
20×	`distribute-lft-neg-in_binary64`
18×	`cube-mult_binary64`
15×	`exp-sqrt_binary64` `cube-unmult_binary64` `distribute-neg-in_binary64`
13×	`exp-diff_binary64` `associate--r+_binary64`
9×	`log-rec_binary64`
8×	`difference-of-squares_binary64`
6×	`unpow1/2_binary64` `sub0-neg_binary64` `associate--r-_binary64`
5×	`+-rgt-identity_binary64` `lft-mult-inverse_binary64`
4×	`remove-double-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
3×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-lft-out--_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `remove-double-div_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` `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` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_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` `count-2_binary64`

Counts

393 → 357

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	11689
1	1345	9280
2	4081	9020
3	4620	9020
4	5025	9020

prune222.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	351	6	357
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	357	9	366

Error

0.0b

Counts

366 → 9

Compiler

Compiled 4257 to 2292 computations (46.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 PI.f64 (+.f64 a b)) (.f64 2 (.f64 a b)))
0.3b	(/.f64 PI.f64 (+.f64 a b))

rewrite140.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`associate-/l*_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out_binary64`
6×	`associate-/r/_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
5×	`associate-/r*_binary64`
4×	`div-inv_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 93

Calls

2 calls:

13.0ms	(/.f64 (/.f64 PI.f64 (+.f64 a b)) (.f64 2 (.f64 a b)))
5.0ms	(/.f64 PI.f64 (+.f64 a b))

Compiler

Compiled 1656 to 509 computations (69.3% saved)

series82.0ms (1%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

38.0ms	(/.f64 (/.f64 PI.f64 (+.f64 a b)) (.f64 2 (.f64 a b)))
29.0ms	(/.f64 PI.f64 (+.f64 a b))

Compiler

Compiled 1093 to 828 computations (24.2% saved)

simplify139.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-/l*_binary64`
432×	`associate-*l/_binary64`
360×	`associate-/r/_binary64`
325×	`associate-*r/_binary64`
161×	`associate-/r*_binary64`
123×	`distribute-rgt-in_binary64`
121×	`log-div_binary64`
114×	`associate-/l/_binary64`
95×	`distribute-lft-in_binary64`
91×	`times-frac_binary64`
88×	`associate-l_binary64`
83×	`associate-r_binary64`
69×	`*-commutative_binary64`
64×	`cancel-sign-sub-inv_binary64`
63×	`cube-div_binary64`
62×	`sub-neg_binary64`
59×	`log-prod_binary64`
48×	`cube-prod_binary64`
42×	`unswap-sqr_binary64`
38×	`distribute-neg-frac_binary64`
36×	`distribute-rgt-neg-in_binary64`
34×	`distribute-lft-neg-in_binary64`
28×	`+-commutative_binary64`
26×	`neg-mul-1_binary64` `neg-sub0_binary64`
25×	`*-rgt-identity_binary64`
19×	`sqr-pow_binary64`
18×	`unpow3_binary64`
17×	`div-sub_binary64`
16×	`cube-mult_binary64` `distribute-neg-in_binary64`
12×	`log-rec_binary64`
11×	`distribute-rgt-out_binary64`
10×	`swap-sqr_binary64`
8×	`exp-prod_binary64` `cube-unmult_binary64`
7×	`distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate--r+_binary64`
6×	`log-pow_binary64` `unsub-neg_binary64`
5×	`/-rgt-identity_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
4×	`distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
3×	`*-inverses_binary64` `difference-of-squares_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
1×	`exp-sqrt_binary64` `1-exp_binary64` `*-lft-identity_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`

Counts

123 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	2653
1	512	2359
2	1703	2310
3	4708	2310
4	4978	2310
5	4973	2310

prune101.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	3	4	7
Picked	0	1	1
Done	1	0	1
Total	110	10	120

Error

Counts

120 → 10

Compiler

Compiled 1494 to 540 computations (63.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.2b	(/.f64 (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b)) (-.f64 b a))
0.2b	(*.f64 (/.f64 PI.f64 2) (/.f64 (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b)) (-.f64 b a)))
0.2b	(/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b))

rewrite1.4s (16.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2659×	`times-frac_binary64`
2161×	`*-un-lft-identity_binary64`
2124×	`add-sqr-sqrt_binary64`
615×	`difference-of-squares_binary64`
573×	`add-cube-cbrt_binary64`
515×	`distribute-lft-out--_binary64`
416×	`associate-r_binary64`
229×	`distribute-lft-out_binary64`
216×	`div-inv_binary64`
101×	`associate-/l*_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
28×	`associate-/r/_binary64`
13×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
9×	`associate-/r*_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`
3×	`div-sub_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 1132

Calls

4 calls:

178.0ms	(*.f64 (/.f64 PI.f64 2) (/.f64 (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b)) (-.f64 b a)))
41.0ms	(/.f64 (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b)) (-.f64 b a))
22.0ms	(/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b))
14.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 25288 to 12634 computations (50% saved)

series145.0ms (1.7%)

Error

Counts

4 → 57

Calls

4 calls:

39.0ms	(*.f64 (/.f64 PI.f64 2) (/.f64 (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b)) (-.f64 b a)))
32.0ms	(/.f64 (/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b)) (-.f64 b a))
29.0ms	(/.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (+.f64 a b))
20.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))

Compiler

Compiled 1951 to 1596 computations (18.2% saved)

simplify910.0ms (11%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64`
358×	`associate-/r*_binary64`
283×	`div-sub_binary64`
204×	`associate-/l/_binary64`
175×	`*-commutative_binary64`
162×	`associate-*r/_binary64`
160×	`times-frac_binary64`
142×	`associate-*l/_binary64`
111×	`distribute-rgt-in_binary64`
109×	`sub-neg_binary64`
105×	`distribute-lft-in_binary64` `associate-/r/_binary64`
40×	`/-rgt-identity_binary64`
39×	`neg-mul-1_binary64` `cancel-sign-sub-inv_binary64`
37×	`neg-sub0_binary64`
32×	`distribute-rgt-neg-in_binary64`
26×	`log-div_binary64`
23×	`distribute-neg-frac_binary64`
20×	`distribute-lft-neg-in_binary64`
16×	`distribute-lft-neg-out_binary64` `+-commutative_binary64`
14×	`sqr-pow_binary64`
13×	`*-rgt-identity_binary64`
12×	`log-prod_binary64` `associate-l_binary64`
8×	`cube-unmult_binary64` `*-lft-identity_binary64` `swap-sqr_binary64`
6×	`distribute-neg-in_binary64` `associate-r_binary64`
5×	`difference-of-squares_binary64` `distribute-rgt-neg-out_binary64`
4×	`unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64` `cube-prod_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
3×	`exp-sqrt_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `cube-div_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`
1×	`div-exp_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `unswap-sqr_binary64` `associate--l-_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` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `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-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `count-2_binary64` `associate--r-_binary64` `associate-+l+_binary64`

Counts

1189 → 884

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	698	41849
1	2136	41216
2	4968	41216
3	4979	41216

prune409.0ms (4.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	882	2	884
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	886	8	894

Error

Counts

894 → 8

Compiler

Compiled 12314 to 5903 computations (52.1% saved)

regimes1.4s (16.3%)

Accuracy

Total 0.2b remaining (86.1%)

Threshold costs 0.2b (86.1%)

Compiler

Compiled 22802 to 17029 computations (25.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_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` `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` `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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	13	17
2	13	17

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample899.0ms (10.9%)

Algorithm

1×

intervals

Results

464.0ms	8000×	body	128	valid
19.0ms	342×	body	128	invalid

Compiler

Compiled 202 to 150 computations (25.7% saved)

Details

analyze294.0ms (3.5%)

sample25.0ms (0.3%)

simplify60.0ms (0.7%)

prune4.0ms (0%)

localize13.0ms (0.2%)

rewrite460.0ms (5.6%)

series145.0ms (1.7%)

simplify226.0ms (2.7%)

prune178.0ms (2.2%)

localize15.0ms (0.2%)

rewrite626.0ms (7.6%)

series142.0ms (1.7%)

simplify312.0ms (3.8%)

prune222.0ms (2.7%)

localize7.0ms (0.1%)

rewrite140.0ms (1.7%)

series82.0ms (1%)

simplify139.0ms (1.7%)

prune101.0ms (1.2%)

localize14.0ms (0.2%)

rewrite1.4s (16.4%)

series145.0ms (1.7%)

simplify910.0ms (11%)

prune409.0ms (4.9%)

regimes1.4s (16.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample899.0ms (10.9%)

Profiling