Details

analyze610.0ms (16.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

701×	`sub-neg_binary64`
673×	`div-sub_binary64`
421×	`unsub-neg_binary64`
342×	`times-frac_binary64`
282×	`associate-/l*_binary64`
244×	`distribute-neg-frac_binary64`
240×	`neg-mul-1_binary64`
219×	`neg-sub0_binary64`
211×	`associate-*l/_binary64`
198×	`associate-+l+_binary64`
171×	`associate-+r+_binary64`
160×	`associate-+l-_binary64`
152×	`distribute-rgt-neg-in_binary64`
151×	`distribute-rgt-out--_binary64`
150×	`associate-/l/_binary64`
134×	`distribute-lft-neg-in_binary64`
133×	`distribute-lft-neg-out_binary64`
128×	`distribute-rgt-neg-out_binary64`
108×	`associate-/r*_binary64`
104×	`distribute-rgt-in_binary64`
102×	`associate-l_binary64`
101×	`associate-*r/_binary64`
87×	`associate-r_binary64`
77×	`distribute-neg-out_binary64`
64×	`associate-/r/_binary64`
59×	`distribute-frac-neg_binary64`
56×	`distribute-lft-in_binary64`
50×	`sub0-neg_binary64` `associate--r+_binary64`
47×	`distribute-neg-in_binary64`
45×	`+-commutative_binary64`
42×	`associate-+r-_binary64`
40×	`associate--l+_binary64`
35×	`distribute-rgt-out_binary64`
34×	`swap-sqr_binary64`
32×	`*-lft-identity_binary64`
28×	`cancel-sign-sub-inv_binary64`
24×	`*-commutative_binary64`
22×	`*-rgt-identity_binary64`
19×	`distribute-rgt1-in_binary64`
17×	`remove-double-neg_binary64`
15×	`/-rgt-identity_binary64`
13×	`div0_binary64`
12×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-lft-out_binary64`
8×	`associate--l-_binary64`
7×	`sqr-neg_binary64`
6×	`distribute-lft1-in_binary64`
4×	`associate--r-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `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` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	76
2	40	76
3	103	52
4	284	52
5	907	46
6	2566	46
7	4206	46
8	5107	46
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 52 to 45 computations (13.5% saved)

sample37.0ms (1%)

Algorithm

1×

intervals

Results

29.0ms

256×

body

128

valid

Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

701×	`sub-neg_binary64`
673×	`div-sub_binary64`
421×	`unsub-neg_binary64`
342×	`times-frac_binary64`
282×	`associate-/l*_binary64`
244×	`distribute-neg-frac_binary64`
240×	`neg-mul-1_binary64`
219×	`neg-sub0_binary64`
211×	`associate-*l/_binary64`
198×	`associate-+l+_binary64`
171×	`associate-+r+_binary64`
160×	`associate-+l-_binary64`
152×	`distribute-rgt-neg-in_binary64`
151×	`distribute-rgt-out--_binary64`
150×	`associate-/l/_binary64`
134×	`distribute-lft-neg-in_binary64`
133×	`distribute-lft-neg-out_binary64`
128×	`distribute-rgt-neg-out_binary64`
108×	`associate-/r*_binary64`
104×	`distribute-rgt-in_binary64`
102×	`associate-l_binary64`
101×	`associate-*r/_binary64`
87×	`associate-r_binary64`
77×	`distribute-neg-out_binary64`
64×	`associate-/r/_binary64`
59×	`distribute-frac-neg_binary64`
56×	`distribute-lft-in_binary64`
50×	`sub0-neg_binary64` `associate--r+_binary64`
47×	`distribute-neg-in_binary64`
45×	`+-commutative_binary64`
42×	`associate-+r-_binary64`
40×	`associate--l+_binary64`
35×	`distribute-rgt-out_binary64`
34×	`swap-sqr_binary64`
32×	`*-lft-identity_binary64`
28×	`cancel-sign-sub-inv_binary64`
24×	`*-commutative_binary64`
22×	`*-rgt-identity_binary64`
19×	`distribute-rgt1-in_binary64`
17×	`remove-double-neg_binary64`
15×	`/-rgt-identity_binary64`
13×	`div0_binary64`
12×	`mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-lft-out_binary64`
8×	`associate--l-_binary64`
7×	`sqr-neg_binary64`
6×	`distribute-lft1-in_binary64`
4×	`associate--r-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `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` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64`

Counts

1 → 1

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	22	76
2	40	76
3	103	52
4	284	52
5	907	46
6	2566	46
7	4206	46
8	5107	46

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 62 to 56 computations (9.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
0.0b	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))

rewrite277.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
36×	`associate-l_binary64`
35×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`
8×	`pow1_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`pow-prod-down_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `-commutative_binary64` `associate-/l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 131

Calls

4 calls:

36.0ms	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
20.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
19.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
15.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Compiler

Compiled 5508 to 4824 computations (12.4% saved)

series113.0ms (3%)

Error

Counts

4 → 48

Calls

4 calls:

18.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
18.0ms	(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
17.0ms	(/.f64 (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5) (+.f64 (.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 6))
17.0ms	(+.f64 (/.f64 2 (+.f64 1 t)) -4)

Compiler

Compiled 2166 to 1931 computations (10.8% saved)

simplify123.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

780×	`distribute-rgt-in_binary64`
736×	`distribute-lft-in_binary64`
327×	`times-frac_binary64`
174×	`cancel-sign-sub-inv_binary64`
123×	`associate-l_binary64`
113×	`*-commutative_binary64`
108×	`associate-r_binary64`
102×	`sub-neg_binary64`
100×	`associate-*l/_binary64`
89×	`associate-*r/_binary64`
67×	`+-commutative_binary64`
65×	`distribute-rgt-neg-in_binary64`
50×	`distribute-lft-neg-in_binary64`
40×	`associate-/l*_binary64`
36×	`associate-/r*_binary64`
35×	`distribute-neg-in_binary64`
33×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-out_binary64`
31×	`*-rgt-identity_binary64`
29×	`*-lft-identity_binary64` `distribute-neg-frac_binary64`
27×	`sqr-pow_binary64` `associate--r+_binary64`
24×	`associate--l+_binary64`
23×	`unswap-sqr_binary64`
22×	`distribute-rgt-out--_binary64`
21×	`associate-+l+_binary64`
17×	`associate-/l/_binary64`
15×	`exp-prod_binary64`
14×	`cube-prod_binary64`
13×	`unsub-neg_binary64`
11×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
9×	`associate-+r+_binary64`
8×	`swap-sqr_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
7×	`log-div_binary64` `associate-/r/_binary64`
6×	`unpow3_binary64` `cube-div_binary64` `distribute-rgt1-in_binary64`
5×	`div-sub_binary64` `distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
4×	`cube-mult_binary64` `/-rgt-identity_binary64` `associate-+l-_binary64`
3×	`cube-unmult_binary64`
2×	`pow-plus_binary64` `exp-sum_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-squares_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` `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` `exp-diff_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-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

179 → 156

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	5152
1	701	4507
2	2010	4462
3	5006	4462

prune183.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	155	2	157

Error

Counts

157 → 2

Compiler

Compiled 4913 to 4213 computations (14.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -8 (/.f64 4 (+.f64 t 1)))
0.0b	(+.f64 -8 (/.f64 4 (+.f64 t 1)))
0.0b	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
0.0b	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))

rewrite193.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

68×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`distribute-lft-out_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow1_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

16.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
14.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
9.0ms	(+.f64 -8 (/.f64 4 (+.f64 t 1)))
9.0ms	(+.f64 -8 (/.f64 4 (+.f64 t 1)))

Compiler

Compiled 3328 to 2882 computations (13.4% saved)

series122.0ms (3.3%)

Error

Counts

4 → 48

Calls

4 calls:

19.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
18.0ms	(/.f64 (+.f64 -8 (/.f64 4 (+.f64 t 1))) (+.f64 t 1))
18.0ms	(+.f64 -8 (/.f64 4 (+.f64 t 1)))
17.0ms	(+.f64 -8 (/.f64 4 (+.f64 t 1)))

Compiler

Compiled 2572 to 2277 computations (11.5% saved)

simplify147.0ms (4%)

Algorithm

1×	egg-herbie

Rules

430×	`distribute-rgt-in_binary64`
391×	`cancel-sign-sub-inv_binary64`
363×	`distribute-lft-in_binary64`
299×	`times-frac_binary64` `associate-/l*_binary64`
251×	`unsub-neg_binary64`
218×	`associate-/l/_binary64`
196×	`sub-neg_binary64`
155×	`div-sub_binary64`
149×	`neg-mul-1_binary64`
138×	`neg-sub0_binary64`
107×	`distribute-rgt-out_binary64`
104×	`associate-/r*_binary64`
99×	`distribute-rgt-neg-in_binary64`
95×	`associate-l_binary64`
89×	`*-commutative_binary64`
83×	`distribute-lft-neg-in_binary64`
81×	`associate-r_binary64`
75×	`associate-*r/_binary64`
71×	`associate-*l/_binary64`
67×	`associate-/r/_binary64`
64×	`+-commutative_binary64`
54×	`associate-+l+_binary64`
52×	`distribute-lft-out_binary64`
49×	`distribute-neg-frac_binary64`
47×	`distribute-rgt-out--_binary64`
40×	`associate--r+_binary64` `associate-+l-_binary64` `associate-+r+_binary64`
36×	`associate--l+_binary64`
33×	`distribute-lft-out--_binary64`
30×	`distribute-neg-in_binary64`
24×	`unswap-sqr_binary64`
23×	`*-rgt-identity_binary64`
22×	`distribute-lft-neg-out_binary64`
21×	`*-lft-identity_binary64` `sqr-pow_binary64`
18×	`associate-+r-_binary64`
15×	`sub0-neg_binary64`
14×	`+-rgt-identity_binary64`
13×	`cube-prod_binary64`
11×	`distribute-rgt1-in_binary64`
9×	`distribute-rgt-neg-out_binary64`
8×	`cube-unmult_binary64` `distribute-lft1-in_binary64`
7×	`unpow3_binary64`
6×	`/-rgt-identity_binary64`
5×	`pow-plus_binary64`
3×	`associate--l-_binary64`
2×	`log-div_binary64` `log-prod_binary64` `exp-prod_binary64` `cube-mult_binary64` `cube-div_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `exp-diff_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `cancel-sign-sub_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` `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` `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-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-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` `swap-sqr_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`

Counts

152 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	3204
1	329	3000
2	820	2970
3	2050	2964
4	4436	2964
5	5046	2964

prune83.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	2	80

Error

Counts

80 → 2

Compiler

Compiled 1753 to 1466 computations (16.4% saved)

regimes445.0ms (12%)

Accuracy

Total 0.0b remaining (76.5%)

Threshold costs 0.0b (76.5%)

Compiler

Compiled 7032 to 6326 computations (10% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
1×	`1-exp_binary64` `*-commutative_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `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	16	50
1	23	50
2	22	50

end1.0ms (0%)

Compiler: Compiled 33 to 30 computations (9.1% saved)

sample1.3s (34.4%)

Algorithm

1×

intervals

Results

942.0ms

8000×

body

128

valid

Compiler

Compiled 148 to 136 computations (8.1% saved)

Details

analyze610.0ms (16.5%)

sample37.0ms (1%)

simplify66.0ms (1.8%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

rewrite277.0ms (7.5%)

series113.0ms (3%)

simplify123.0ms (3.3%)

prune183.0ms (4.9%)

localize13.0ms (0.3%)

rewrite193.0ms (5.2%)

series122.0ms (3.3%)

simplify147.0ms (4%)

prune83.0ms (2.2%)

regimes445.0ms (12%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.3s (34.4%)

Profiling