Details

analyze8.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify184.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b	(/.f64 x (+.f64 x 1))

rewrite172.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_2806`
20×	`times-frac_binary64_2812`
12×	`distribute-lft-out_binary64_2757`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
4×	`add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750`
3×	`associate-/l*_binary64_2751`
2×	`pow1_binary64_2867` `div-inv_binary64_2803` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `flip-+_binary64_2780` `distribute-lft-out--_binary64_2758`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `sum-log_binary64_2897` `frac-add_binary64_2814` `+-commutative_binary64_2736`

Counts

2 → 51

Calls

2 calls:

60.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
11.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 969 to 710 computations (26.7% saved)

series212.0ms (5.9%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

111.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
60.0ms	(/.f64 x (+.f64 x 1))

Compiler

Compiled 630 to 551 computations (12.5% saved)

simplify173.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5267	1101

prune128.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	2	76

Error

Counts

76 → 2

Compiler

Compiled 1186 to 859 computations (27.6% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))

rewrite371.0ms (10.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_2837`
35×	`*-un-lft-identity_binary64_2806`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780` `swap-sqr_binary64_2773` `distribute-lft-out_binary64_2757`
7×	`associate-l_binary64_2747` `associate-r_binary64_2746`
6×	`add-exp-log_binary64_2844`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 95

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
6.0ms	(cbrt.f64 (+.f64 x 1))
6.0ms	(cbrt.f64 (+.f64 x 1))
6.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 2833 to 2237 computations (21% saved)

series509.0ms (14.1%)

Error

Counts

4 → 39

Calls

4 calls:

131.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
100.0ms	(cbrt.f64 (+.f64 x 1))
88.0ms	(cbrt.f64 (+.f64 x 1))
85.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 2473 to 2053 computations (17% saved)

simplify222.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4856	1870
1	4856	1870

prune377.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Error

Counts

136 → 2

Compiler

Compiled 3591 to 2775 computations (22.7% saved)

regimes69.0ms (1.9%)

Accuracy

Total 0.0b remaining (77%)

Threshold costs 0.0b (77%)

Compiler

Compiled 222 to 198 computations (10.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms (0%)

sample1.1s (30.8%)

Algorithm

1×

intervals

Results

449.0ms

8000×

body

128

valid

Compiler

Compiled 122 to 109 computations (10.7% saved)

Details

analyze8.0ms (0.2%)

sample27.0ms (0.8%)

simplify184.0ms (5.1%)

prune5.0ms (0.1%)

localize13.0ms (0.4%)

rewrite172.0ms (4.8%)

series212.0ms (5.9%)

simplify173.0ms (4.8%)

prune128.0ms (3.5%)

localize22.0ms (0.6%)

rewrite371.0ms (10.3%)

series509.0ms (14.1%)

simplify222.0ms (6.2%)

prune377.0ms (10.5%)

regimes69.0ms (1.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (30.8%)

Profiling