Details

analyze968.0ms (22.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4914	91
1	4914	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	62×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune7.0ms (0.2%)

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

2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
7.9b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_12717`
16×	`*-un-lft-identity_binary64_12695`
14×	`add-cube-cbrt_binary64_12730`
13×	`associate-l_binary64_12636`
12×	`cancel-sign-sub-inv_binary64_12661`
10×	`times-frac_binary64_12701`
8×	`associate-+l+_binary64_12628` `distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644`
7×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
5×	`associate-r_binary64_12635`
4×	`sub-neg_binary64_12688` `pow1_binary64_12756` `add-log-exp_binary64_12734`
2×	`prod-exp_binary64_12744` `frac-times_binary64_12705` `flip3--_binary64_12699` `flip--_binary64_12670` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `associate-*r/_binary64_12637`
1×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `distribute-lft-out--_binary64_12647` `div-inv_binary64_12692` `flip-+_binary64_12669` `pow-prod-down_binary64_12766` `-commutative_binary64_12626` `difference-of-squares_binary64_12664` `flip3-+_binary64_12698` `sum-log_binary64_12786` `associate-l/_binary64_12638` `+-commutative_binary64_12625`

Counts

2 → 65

Calls

2 calls:

11.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series102.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
41.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5067	1022

prune61.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Error

0.0b

Counts

72 → 7

Compiler

Compiled 1144 to 273 computations (76.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
11.6b	(cbrt.f64 (/.f64 x y))
11.6b	(cbrt.f64 (/.f64 x y))
11.6b	(cbrt.f64 (/.f64 x y))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_12726` `cbrt-div_binary64_12727`
29×	`frac-times_binary64_12705`
27×	`times-frac_binary64_12701`
25×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
17×	`associate-*l/_binary64_12638`
16×	`add-exp-log_binary64_12733` `pow1_binary64_12756`
15×	`associate-*r/_binary64_12637`
10×	`add-cbrt-cube_binary64_12731`
8×	`prod-exp_binary64_12744` `flip3--_binary64_12699` `pow-prod-down_binary64_12766` `flip--_binary64_12670` `cbrt-unprod_binary64_12728`
4×	`add-log-exp_binary64_12734`
3×	`div-inv_binary64_12692` `pow1/3_binary64_12777`
1×	`associate-l_binary64_12636` `-commutative_binary64_12626` `associate-r*_binary64_12635`

Counts

4 → 111

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

series233.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
59.0ms	(cbrt.f64 (/.f64 x y))
57.0ms	(cbrt.f64 (/.f64 x y))
54.0ms	(cbrt.f64 (/.f64 x y))

simplify125.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4964	1985
1	4964	1985

prune101.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Error

0.0b

Counts

130 → 8

Compiler

Compiled 2932 to 632 computations (78.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
1.0b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
11.6b	(cbrt.f64 (/.f64 x y))
11.6b	(cbrt.f64 (/.f64 x y))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`cbrt-prod_binary64_12726` `frac-times_binary64_12705`
26×	`cbrt-div_binary64_12727`
25×	`add-exp-log_binary64_12733`
19×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
18×	`times-frac_binary64_12701`
17×	`associate-*l/_binary64_12638`
16×	`pow1_binary64_12756`
15×	`add-cbrt-cube_binary64_12731` `associate-*r/_binary64_12637`
13×	`prod-exp_binary64_12744` `cbrt-unprod_binary64_12728`
8×	`flip3--_binary64_12699` `pow-prod-down_binary64_12766` `flip--_binary64_12670`
4×	`add-log-exp_binary64_12734`
3×	`pow1/3_binary64_12777`
2×	`div-exp_binary64_12746` `cbrt-undiv_binary64_12729` `div-inv_binary64_12692`
1×	`associate-l_binary64_12636` `-commutative_binary64_12626` `associate-r*_binary64_12635`

Counts

4 → 104

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
1.0ms	(cbrt.f64 x)

series254.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt.f64 x)
68.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
54.0ms	(cbrt.f64 (/.f64 x y))
53.0ms	(cbrt.f64 (/.f64 x y))

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4977	1719
1	4977	1719

prune96.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Error

0.0b

Counts

124 → 8

Compiler

Compiled 2664 to 581 computations (78.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.6b	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
3.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_12733`
35×	`add-cbrt-cube_binary64_12731`
33×	`prod-exp_binary64_12744`
32×	`add-sqr-sqrt_binary64_12717`
24×	`*-un-lft-identity_binary64_12695`
23×	`associate-r_binary64_12635` `times-frac_binary64_12701`
22×	`add-cube-cbrt_binary64_12730`
20×	`cbrt-unprod_binary64_12728`
18×	`div-exp_binary64_12746`
16×	`cbrt-prod_binary64_12726`
12×	`associate-l_binary64_12636`
11×	`frac-times_binary64_12705` `pow1_binary64_12756`
10×	`cbrt-undiv_binary64_12729`
8×	`associate-*r/_binary64_12637`
7×	`associate-*l/_binary64_12638`
6×	`flip3--_binary64_12699` `flip--_binary64_12670` `1-exp_binary64_12739`
4×	`pow-prod-down_binary64_12766` `add-log-exp_binary64_12734`
3×	`unswap-sqr_binary64_12663`
2×	`div-inv_binary64_12692` `*-commutative_binary64_12626` `pow1/3_binary64_12777`
1×	`distribute-lft-out--_binary64_12647` `difference-of-squares_binary64_12664`

Counts

4 → 123

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
13.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series394.0ms (9%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
111.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
88.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5046	1717

prune108.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	135	8	143

Error

0.0b

Counts

143 → 8

Compiler

Compiled 2649 to 777 computations (70.7% saved)

regimes382.0ms (8.7%)

Accuracy

Total 1.2b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 2747 to 1876 computations (31.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	63
1	66	63

end0.0ms (0%)

sample1.0s (23.3%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
70.0ms	2153×	body	128	invalid

Compiler

Compiled 507 to 333 computations (34.3% saved)

Details

analyze968.0ms (22.1%)

sample20.0ms (0.5%)

simplify57.0ms (1.3%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series102.0ms (2.3%)

simplify67.0ms (1.5%)

prune61.0ms (1.4%)

localize10.0ms (0.2%)

rewrite36.0ms (0.8%)

series233.0ms (5.3%)

simplify125.0ms (2.9%)

prune101.0ms (2.3%)

localize16.0ms (0.4%)

rewrite37.0ms (0.8%)

series254.0ms (5.8%)

simplify89.0ms (2%)

prune96.0ms (2.2%)

localize12.0ms (0.3%)

rewrite47.0ms (1.1%)

series394.0ms (9%)

simplify98.0ms (2.2%)

prune108.0ms (2.5%)

regimes382.0ms (8.7%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (23.3%)

Profiling