Details

analyze544.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

756×	`neg-mul-1_binary64`
741×	`neg-sub0_binary64`
638×	`associate-/l*_binary64`
470×	`distribute-frac-neg_binary64`
468×	`div-sub_binary64`
448×	`unsub-neg_binary64`
352×	`sub-neg_binary64`
260×	`distribute-rgt-in_binary64`
256×	`times-frac_binary64`
236×	`distribute-lft-neg-out_binary64`
234×	`distribute-rgt-neg-out_binary64`
198×	`distribute-lft-in_binary64` `associate-*l/_binary64`
187×	`associate-l_binary64`
177×	`cancel-sign-sub-inv_binary64`
173×	`associate-*r/_binary64`
172×	`distribute-neg-frac_binary64`
170×	`associate-r_binary64`
155×	`associate-/r/_binary64`
149×	`associate-/r*_binary64`
122×	`*-lft-identity_binary64`
117×	`associate-/l/_binary64`
103×	`*-rgt-identity_binary64`
97×	`*-commutative_binary64`
90×	`remove-double-neg_binary64`
82×	`distribute-rgt-neg-in_binary64`
78×	`cancel-sign-sub_binary64`
77×	`/-rgt-identity_binary64`
53×	`div0_binary64`
44×	`distribute-rgt-out_binary64` `associate--r+_binary64` `+-commutative_binary64`
42×	`distribute-lft-neg-in_binary64`
40×	`distribute-rgt-out--_binary64`
34×	`+-lft-identity_binary64`
32×	`associate-+l-_binary64` `associate-+r+_binary64`
29×	`distribute-neg-in_binary64`
28×	`sub0-neg_binary64` `distribute-neg-out_binary64`
24×	`associate-+r-_binary64`
22×	`associate-+l+_binary64`
19×	`+-rgt-identity_binary64`
17×	`remove-double-div_binary64`
16×	`difference-of-squares_binary64`
15×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`distribute-lft-out_binary64`
10×	`associate--r-_binary64`
8×	`associate--l+_binary64`
6×	`swap-sqr_binary64`
4×	`associate--l-_binary64`
3×	`sqr-neg_binary64` `--rgt-identity_binary64`
2×	`mul-1-neg_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	161	200
2	483	200
3	1371	192
4	2735	192
5	3995	192
6	4316	192
7	4707	192
8	5013	192
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
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

41.0ms	238×	body	256	valid
4.0ms	48×	body	128	nan
2.0ms	18×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify229.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64`
634×	`div-sub_binary64`
582×	`unsub-neg_binary64`
519×	`sub-neg_binary64`
502×	`times-frac_binary64`
356×	`distribute-rgt-out--_binary64`
307×	`neg-mul-1_binary64`
295×	`distribute-rgt-neg-in_binary64`
286×	`associate-/l/_binary64`
280×	`neg-sub0_binary64`
252×	`associate-/r/_binary64`
250×	`distribute-lft-neg-out_binary64`
246×	`distribute-neg-out_binary64`
212×	`associate-/r_binary64` `-commutative_binary64`
210×	`+-commutative_binary64`
208×	`distribute-rgt-out_binary64`
203×	`distribute-rgt-in_binary64`
199×	`distribute-rgt-neg-out_binary64`
186×	`distribute-neg-frac_binary64`
160×	`associate-*r/_binary64`
145×	`cancel-sign-sub-inv_binary64`
137×	`associate-*l/_binary64`
133×	`distribute-neg-in_binary64`
123×	`distribute-lft-in_binary64`
113×	`associate-+l+_binary64`
106×	`distribute-lft-out--_binary64`
100×	`distribute-frac-neg_binary64`
98×	`associate-+l-_binary64`
90×	`associate-l_binary64`
81×	`associate-+r+_binary64`
78×	`associate-r_binary64` `associate--r-_binary64`
63×	`associate--r+_binary64`
59×	`distribute-lft-neg-in_binary64`
46×	`*-lft-identity_binary64`
44×	`associate-+r-_binary64`
43×	`*-rgt-identity_binary64` `distribute-lft-out_binary64`
35×	`remove-double-neg_binary64` `sub0-neg_binary64`
34×	`associate--l+_binary64`
27×	`mul0-rgt_binary64` `swap-sqr_binary64`
25×	`mul0-lft_binary64`
24×	`distribute-rgt1-in_binary64`
23×	`associate--l-_binary64`
20×	`mul-1-neg_binary64`
18×	`div0_binary64`
14×	`cancel-sign-sub_binary64`
9×	`+-lft-identity_binary64`
6×	`+-rgt-identity_binary64`
5×	`sqr-neg_binary64`
4×	`/-rgt-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64`
2×	`difference-of-squares_binary64` `distribute-lft1-in_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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	53	50
2	139	50
3	381	48
4	735	48
5	1189	48
6	1409	48
7	1893	48
8	1853	48
9	2235	48
10	2889	48
11	3457	48
12	3639	48
13	3749	48
14	3797	48
15	3821	48
16	3871	48
17	4858	48
18	4799	48
19	4980	48
20	4834	48

prune7.0ms (0.1%)

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

36.4b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
10.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite159.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

31.0b

Rules

14×	`add-sqr-sqrt_binary64`
11×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `pow1/3_binary64` `cbrt-div_binary64`
1×	`associate-*l/_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2345 to 702 computations (70.1% saved)

series364.0ms (4.1%)

Error

31.2b

Counts

4 → 46

Calls

4 calls:

113.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
111.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4765 to 3503 computations (26.5% saved)

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-/l*_binary64`
591×	`associate-/r*_binary64`
156×	`associate-*l/_binary64`
132×	`associate-/r/_binary64`
102×	`sub-neg_binary64`
101×	`cancel-sign-sub-inv_binary64`
96×	`*-commutative_binary64`
95×	`times-frac_binary64`
89×	`associate-r_binary64`
86×	`distribute-rgt-in_binary64`
79×	`distribute-lft-in_binary64`
73×	`distribute-rgt-neg-in_binary64`
68×	`distribute-lft-neg-in_binary64`
67×	`sqr-pow_binary64`
61×	`exp-sum_binary64`
55×	`associate-l_binary64`
54×	`unswap-sqr_binary64`
49×	`distribute-neg-frac_binary64`
47×	`+-commutative_binary64`
46×	`exp-prod_binary64`
38×	`neg-sub0_binary64`
35×	`neg-mul-1_binary64`
33×	`div-sub_binary64`
32×	`log-div_binary64`
29×	`exp-diff_binary64`
22×	`unsub-neg_binary64`
20×	`log-prod_binary64`
19×	`associate-*r/_binary64`
16×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
13×	`unpow1/3_binary64` `associate-+l+_binary64`
11×	`pow-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
10×	`associate-+r+_binary64`
9×	`exp-to-pow_binary64`
8×	`associate-+r-_binary64`
7×	`associate--r+_binary64`
6×	`associate--l+_binary64`
5×	`log-pow_binary64` `cube-unmult_binary64`
4×	`unpow3_binary64` `exp-neg_binary64` `cube-prod_binary64` `associate--r-_binary64` `associate--l-_binary64`
3×	`log-rec_binary64` `pow-plus_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64`

Counts

107 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	2771
1	573	2741
2	1587	2689
3	4973	2689
4	4978	2689

prune138.0ms (1.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	53	13	66
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	14	68

Error

30.9b

Counts

68 → 14

Compiler

Compiled 2883 to 1382 computations (52.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
10.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite204.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

30.7b

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow1/3_binary64` `associate-*l/_binary64` `cbrt-div_binary64` `cbrt-prod_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 55

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2164 to 675 computations (68.8% saved)

series308.0ms (3.4%)

Error

30.0b

Counts

4 → 45

Calls

4 calls:

113.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
31.0ms	(-.f64 (.f64 g g) (.f64 h h))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3827 to 2780 computations (27.4% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

518×	`times-frac_binary64`
349×	`associate-r_binary64`
320×	`associate-/l*_binary64`
295×	`associate-l_binary64`
212×	`exp-sum_binary64` `associate-/r*_binary64`
162×	`*-commutative_binary64`
113×	`distribute-rgt-in_binary64`
112×	`distribute-lft-in_binary64`
105×	`exp-diff_binary64`
100×	`exp-prod_binary64`
90×	`div-sub_binary64`
73×	`associate-*l/_binary64`
64×	`+-commutative_binary64`
58×	`sub-neg_binary64`
56×	`sqr-pow_binary64`
51×	`associate-*r/_binary64`
48×	`associate-/r/_binary64`
46×	`associate-+r-_binary64`
44×	`cancel-sign-sub-inv_binary64`
41×	`unswap-sqr_binary64`
37×	`associate-+r+_binary64`
36×	`associate-+l+_binary64`
28×	`log-prod_binary64`
26×	`distribute-rgt-neg-in_binary64`
25×	`associate-+l-_binary64`
23×	`log-div_binary64`
22×	`distribute-lft-neg-in_binary64`
20×	`neg-sub0_binary64`
19×	`exp-to-pow_binary64` `rem-exp-log_binary64`
18×	`unpow1/3_binary64` `neg-mul-1_binary64`
17×	`associate--r-_binary64`
15×	`cube-unmult_binary64`
14×	`associate--l+_binary64`
13×	`distribute-lft-neg-out_binary64`
11×	`pow-plus_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
10×	`exp-neg_binary64` `cube-prod_binary64` `pow-sqr_binary64`
9×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
8×	`unpow3_binary64`
7×	`associate--l-_binary64`
5×	`log-pow_binary64` `cube-mult_binary64` `associate--r+_binary64`
4×	`rem-sqrt-square_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64`
3×	`log-rec_binary64` `mul-1-neg_binary64` `distribute-neg-in_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `count-2_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` `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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`

Counts

100 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	1798
1	379	1744
2	1000	1717
3	4403	1653
4	4985	1653

prune178.0ms (2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	68	13	81

Error

29.7b

Counts

81 → 13

Compiler

Compiled 2475 to 1113 computations (55% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite189.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

29.7b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2322 to 728 computations (68.6% saved)

series207.0ms (2.3%)

Error

29.7b

Counts

4 → 46

Calls

4 calls:

35.0ms	(-.f64 (.f64 g g) (.f64 h h))
34.0ms	(-.f64 (.f64 g g) (.f64 h h))
30.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3120 to 2237 computations (28.3% saved)

simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

823×	`associate-/r*_binary64`
276×	`unswap-sqr_binary64`
197×	`associate-r_binary64`
192×	`associate-l_binary64`
182×	`associate-/r/_binary64`
171×	`associate-/l/_binary64`
170×	`cancel-sign-sub-inv_binary64`
146×	`times-frac_binary64`
122×	`associate-/l*_binary64`
114×	`exp-prod_binary64`
84×	`distribute-rgt-in_binary64`
83×	`distribute-lft-in_binary64`
72×	`*-commutative_binary64`
71×	`distribute-lft-neg-out_binary64`
67×	`distribute-rgt-neg-out_binary64`
62×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
58×	`sqr-pow_binary64`
57×	`sub-neg_binary64`
45×	`unsub-neg_binary64`
40×	`exp-sum_binary64`
39×	`difference-of-squares_binary64`
37×	`distribute-rgt-out_binary64`
34×	`pow-plus_binary64` `associate-*l/_binary64`
31×	`+-commutative_binary64`
27×	`neg-sub0_binary64`
23×	`associate-*r/_binary64`
22×	`distribute-lft-out_binary64`
20×	`neg-mul-1_binary64` `associate-+l+_binary64`
17×	`unpow3_binary64`
15×	`swap-sqr_binary64` `associate-+r+_binary64`
14×	`exp-diff_binary64`
11×	`cube-unmult_binary64`
10×	`cube-prod_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
9×	`+-rgt-identity_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
8×	`mul-1-neg_binary64` `sub0-neg_binary64` `associate--l+_binary64`
6×	`exp-neg_binary64` `div-sub_binary64`
5×	`log-prod_binary64` `cube-mult_binary64`
4×	`rem-sqrt-square_binary64`
3×	`unpow2_binary64` `distribute-neg-in_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64`
1×	`unpow-1_binary64` `div-exp_binary64` `1-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

104 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	1430
1	185	1334
2	508	1334
3	1994	1334
4	4915	1334
5	4957	1334
6	4989	1334
7	4942	1334

prune153.0ms (1.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	65	16	81

Error

29.7b

Counts

81 → 16

Compiler

Compiled 2276 to 1074 computations (52.8% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
3.4b	(-.f64 (.f64 g g) (.f64 h h))
29.1b	(sqrt.f64 (*.f64 g g))
29.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite213.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

29.7b

Rules

13×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`sqrt-pow1_binary64` `*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64` `rem-sqrt-square_binary64`
1×	`pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 57

Calls

4 calls:

6.0ms	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
2.0ms	(sqrt.f64 (*.f64 g g))

Compiler

Compiled 1954 to 714 computations (63.5% saved)

series121.0ms (1.3%)

Error

29.6b

Counts

4 → 29

Calls

4 calls:

32.0ms	(-.f64 (.f64 g g) (.f64 h h))
22.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
19.0ms	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
7.0ms	(sqrt.f64 (*.f64 g g))

Compiler

Compiled 1838 to 1400 computations (23.8% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

336×	`associate-+l+_binary64`
332×	`associate-+r+_binary64`
249×	`unswap-sqr_binary64`
231×	`associate-l_binary64`
225×	`cancel-sign-sub-inv_binary64`
209×	`exp-prod_binary64`
194×	`associate-r_binary64`
159×	`exp-diff_binary64`
139×	`associate--r+_binary64`
128×	`distribute-rgt-in_binary64`
119×	`distribute-lft-in_binary64`
107×	`associate--l+_binary64`
92×	`distribute-rgt-neg-out_binary64`
88×	`distribute-lft-neg-out_binary64`
85×	`distribute-rgt-neg-in_binary64`
84×	`sub-neg_binary64`
81×	`distribute-lft-neg-in_binary64`
72×	`distribute-rgt-out_binary64`
68×	`unsub-neg_binary64` `associate-/l*_binary64`
67×	`*-commutative_binary64`
65×	`times-frac_binary64`
61×	`associate-+l-_binary64`
60×	`sqr-pow_binary64` `associate-+r-_binary64`
54×	`distribute-neg-in_binary64`
50×	`difference-of-squares_binary64`
46×	`exp-sum_binary64`
38×	`neg-sub0_binary64` `+-commutative_binary64`
37×	`distribute-lft-out_binary64` `associate-/r*_binary64`
32×	`associate--r-_binary64`
30×	`neg-mul-1_binary64`
28×	`associate--l-_binary64`
23×	`log-prod_binary64` `pow-plus_binary64`
21×	`unpow3_binary64` `cube-prod_binary64`
17×	`div-sub_binary64` `swap-sqr_binary64`
14×	`cube-unmult_binary64`
13×	`pow-sqr_binary64` `distribute-rgt-out--_binary64`
12×	`associate-/r/_binary64`
11×	`associate-l/_binary64` `associate-r/_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`+-rgt-identity_binary64` `associate-/l/_binary64`
8×	`sub0-neg_binary64`
7×	`remove-double-neg_binary64`
6×	`cube-mult_binary64` `rem-sqrt-square_binary64`
5×	`mul-1-neg_binary64`
4×	`distribute-lft-out--_binary64`
3×	`unpow2_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `count-2_binary64`
2×	`log-pow_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `fabs-mul_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `*-lft-identity_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` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_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-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

86 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1032
1	210	941
2	519	906
3	1610	903
4	4664	903
5	5041	903

prune105.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	47	7	54
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	51	19	70

Error

29.5b

Counts

70 → 19

Compiler

Compiled 1193 to 532 computations (55.4% saved)

regimes2.9s (32.2%)

Accuracy

Total 2.4b remaining (7.7%)

Threshold costs 0b (0%)

Compiler

Compiled 53071 to 33570 computations (36.7% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64` `+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `*-lft-identity_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-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` `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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `*-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	114
1	61	114
2	76	114
3	89	114
4	98	112
5	104	112
6	107	112
7	108	112
8	105	112

end4.0ms (0%)

Compiler: Compiled 72 to 37 computations (48.6% saved)

sample2.4s (26.6%)

Algorithm

1×

intervals

Results

1.3s	7585×	body	256	valid
103.0ms	1209×	body	128	nan
36.0ms	415×	body	128	valid

Compiler

Compiled 830 to 525 computations (36.7% saved)

Details

analyze544.0ms (6.1%)

sample59.0ms (0.7%)

simplify229.0ms (2.6%)

prune7.0ms (0.1%)

localize17.0ms (0.2%)

rewrite159.0ms (1.8%)

series364.0ms (4.1%)

simplify110.0ms (1.2%)

prune138.0ms (1.5%)

localize18.0ms (0.2%)

rewrite204.0ms (2.3%)

series308.0ms (3.4%)

simplify87.0ms (1%)

prune178.0ms (2%)

localize20.0ms (0.2%)

rewrite189.0ms (2.1%)

series207.0ms (2.3%)

simplify129.0ms (1.4%)

prune153.0ms (1.7%)

localize25.0ms (0.3%)

rewrite213.0ms (2.4%)

series121.0ms (1.3%)

simplify90.0ms (1%)

prune105.0ms (1.2%)

regimes2.9s (32.2%)

bsearch13.0ms (0.1%)

simplify8.0ms (0.1%)

end4.0ms (0%)

sample2.4s (26.6%)

Profiling