Details

analyze232.0ms (12.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify167.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3110` `add-sqr-sqrt_binary64_3131`
4×	`associate-r_binary64_3052`
3×	`add-cube-cbrt_binary64_3142` `add-exp-log_binary64_3145` `pow1_binary64_3168` `associate-l_binary64_3053` `add-cbrt-cube_binary64_3143`
2×	`associate-*r/_binary64_3054`
1×	`distribute-lft-out_binary64_3063` `prod-exp_binary64_3156` `pow-prod-down_binary64_3178` `cbrt-unprod_binary64_3140` `add-log-exp_binary64_3146` `flip3-+_binary64_3113` `*-commutative_binary64_3043` `unswap-sqr_binary64_3078` `distribute-lft-in_binary64_3061` `distribute-rgt-in_binary64_3062` `flip-+_binary64_3084`

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 d3))

series51.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

51.0ms

(*.f64 d1 (+.f64 d2 d3))

simplify114.0ms (6%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4873	239
1	4873	239

prune14.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

Compiler

Compiled 251 to 72 computations (71.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3138`
23×	`add-sqr-sqrt_binary64_3131`
15×	`add-cube-cbrt_binary64_3142` `*-un-lft-identity_binary64_3110`
11×	`pow1_binary64_3168`
9×	`pow1/3_binary64_3189`
6×	`add-exp-log_binary64_3145` `swap-sqr_binary64_3077` `associate-l_binary64_3053` `associate-r_binary64_3052`
4×	`add-log-exp_binary64_3146` `unswap-sqr_binary64_3078` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `pow-plus_binary64_3170`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)

series669.0ms (35%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
163.0ms	(cbrt.f64 d1)
162.0ms	(cbrt.f64 d1)
161.0ms	(cbrt.f64 d1)

simplify68.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune52.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

Compiler

Compiled 1244 to 319 computations (74.4% saved)

regimes24.0ms (1.3%)

Compiler: Compiled 57 to 57 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample464.0ms (24.3%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	128	valid
15.0ms	654×	body	128	invalid

Compiler

Compiled 35 to 33 computations (5.7% saved)

Details

analyze232.0ms (12.2%)

sample14.0ms (0.7%)

simplify167.0ms (8.7%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

rewrite8.0ms (0.4%)

series51.0ms (2.7%)

simplify114.0ms (6%)

prune14.0ms (0.7%)

localize10.0ms (0.5%)

rewrite15.0ms (0.8%)

series669.0ms (35%)

simplify68.0ms (3.6%)

prune52.0ms (2.7%)

regimes24.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample464.0ms (24.3%)

Profiling