Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample28.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify292.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	4919	40
1	4919	40

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
0.1b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.1b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554`
60×	`*-un-lft-identity_binary64_590`
48×	`times-frac_binary64_585`
32×	`cbrt-unprod_binary64_559` `prod-exp_binary64_537`
28×	`cbrt-undiv_binary64_560` `add-sqr-sqrt_binary64_575` `div-exp_binary64_539`
24×	`swap-sqr_binary64_617` `add-cube-cbrt_binary64_561`
20×	`associate-/r/_binary64_655` `associate-l_binary64_650` `associate-r_binary64_649`
18×	`pow1_binary64_532`
16×	`distribute-lft-out_binary64_634`
10×	`flip-+_binary64_615` `div-inv_binary64_591` `flip3-+_binary64_588`
8×	`associate-/r*_binary64_653`
4×	`add-log-exp_binary64_555`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `unswap-sqr_binary64_618` `pow2_binary64_523` `frac-times_binary64_582` `-commutative_binary64_658` `frac-2neg_binary64_583` `pow-plus_binary64_527` `associate-l/_binary64_652` `associate-/l_binary64_654` `clear-num_binary64_593` `associate-r/_binary64_651` `pow-sqr_binary64_623`

Counts

4 → 184

Calls

4 calls:

7.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
7.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
16.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
16.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
12.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
16.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
17.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

simplify105.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4941	3016
1	4941	3016

prune244.0ms

Filtered

118 candidates to 196 candidates (-66.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	3	197

Merged error: 0.0b

Counts

197 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
0.1b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.5b	(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)))
0.6b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64_590`
41×	`add-exp-log_binary64_554`
40×	`add-cbrt-cube_binary64_562`
39×	`unpow-prod-down_binary64_521`
34×	`exp-prod_binary64_540`
32×	`times-frac_binary64_585`
30×	`sqrt-prod_binary64_569`
27×	`add-sqr-sqrt_binary64_575`
25×	`add-cube-cbrt_binary64_561`
18×	`log-pow_binary64_507`
15×	`cbrt-unprod_binary64_559` `prod-exp_binary64_537`
14×	`pow1_binary64_532` `associate-/r/_binary64_655`
12×	`swap-sqr_binary64_617` `cbrt-undiv_binary64_560` `div-exp_binary64_539`
10×	`associate-l_binary64_650` `associate-r_binary64_649`
9×	`distribute-lft-out_binary64_634`
7×	`flip-+_binary64_615` `div-inv_binary64_591` `flip3-+_binary64_588`
5×	`add-log-exp_binary64_555`
3×	`sqr-pow_binary64_622` `pow-pow_binary64_514` `pow-unpow_binary64_519` `log-prod_binary64_504`
1×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `pow-to-exp_binary64_511` `sqrt-pow2_binary64_572` `unswap-sqr_binary64_618` `rem-exp-log_binary64_552` `pow2_binary64_523` `frac-times_binary64_582` `-commutative_binary64_658` `pow-plus_binary64_527` `rem-log-exp_binary64_553` `pow1/2_binary64_522` `sqrt-pow1_binary64_571` `associate-l/_binary64_652` `pow-exp_binary64_510` `associate-*r/_binary64_651` `pow-sqr_binary64_623`

Counts

4 → 151

Calls

4 calls:

8.0ms	(exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
16.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
8.0ms	(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)))
8.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

series233.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4))
14.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
70.0ms	(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)))
76.0ms	(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 t) (+.f64 t 1))) 4)

simplify68.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5302	2811

prune241.0ms

Filtered

112 candidates to 163 candidates (-45.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	163	3	166

Merged error: 0b

Counts

166 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)
0.5b	(pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3)
0.5b	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3))
0.5b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`unpow-prod-down_binary64_521` `*-un-lft-identity_binary64_590`
24×	`add-cube-cbrt_binary64_561` `cbrt-prod_binary64_557` `add-sqr-sqrt_binary64_575`
18×	`sqrt-prod_binary64_569`
15×	`log-prod_binary64_504`
12×	`times-frac_binary64_585`
9×	`cube-prod_binary64_563`
8×	`pow1_binary64_532`
6×	`add-exp-log_binary64_554` `pow-pow_binary64_514` `pow-unpow_binary64_519`
5×	`add-cbrt-cube_binary64_562` `add-log-exp_binary64_555`
4×	`sqr-pow_binary64_622`
3×	`distribute-lft-out_binary64_634` `cube-mult_binary64_565` `unpow3_binary64_530`
2×	`log-pow_binary64_507` `pow1/3_binary64_524` `pow-to-exp_binary64_511` `associate-/r/_binary64_655` `pow-exp_binary64_510`
1×	`exp-prod_binary64_540` `rem-cube-cbrt_binary64_566` `flip-+_binary64_615` `div-inv_binary64_591` `sqrt-pow2_binary64_572` `rem-log-exp_binary64_553` `pow1/2_binary64_522` `exp-to-pow_binary64_526` `sqrt-pow1_binary64_571` `flip3-+_binary64_588` `rem-cbrt-cube_binary64_567`

Counts

4 → 109

Calls

4 calls:

8.0ms	(pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)
4.0ms	(pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3)
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3))
4.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)
37.0ms	(pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3)
21.0ms	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3))
18.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4) 4)) 3)))

simplify102.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5094	2634

prune155.0ms

Filtered

72 candidates to 121 candidates (-68.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)
0.5b	(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12))
0.5b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12)))
1.1b	(pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

51×	`unpow-prod-down_binary64_521`
43×	`*-un-lft-identity_binary64_590`
36×	`sqrt-prod_binary64_569`
31×	`add-cube-cbrt_binary64_561` `add-sqr-sqrt_binary64_575`
29×	`pow-pow_binary64_514`
25×	`exp-prod_binary64_540`
24×	`times-frac_binary64_585`
14×	`cbrt-prod_binary64_557`
10×	`log-prod_binary64_504`
8×	`pow1_binary64_532`
6×	`distribute-lft-out_binary64_634` `add-exp-log_binary64_554` `pow-unpow_binary64_519`
5×	`sqr-pow_binary64_622`
4×	`add-cbrt-cube_binary64_562` `add-log-exp_binary64_555` `associate-/r/_binary64_655`
2×	`log-pow_binary64_507` `pow1/3_binary64_524` `flip-+_binary64_615` `pow-to-exp_binary64_511` `div-inv_binary64_591` `flip3-+_binary64_588` `pow-exp_binary64_510`
1×	`sqrt-pow2_binary64_572` `rem-log-exp_binary64_553` `pow1/2_binary64_522` `sqrt-pow1_binary64_571`

Counts

4 → 115

Calls

4 calls:

8.0ms	(pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)
9.0ms	(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12))
10.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12)))
15.0ms	(pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12)

series210.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)
42.0ms	(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12))
81.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12)))
58.0ms	(pow.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 t (+.f64 t 1))) 4)) 12)

simplify110.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4896	2819
1	4896	2819

prune216.0ms

Filtered

91 candidates to 127 candidates (-39.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Merged error: 0b

Counts

130 → 3

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	52
1	17	52

end0.0ms

sample706.0ms

Algorithm

intervals

Results

611.0ms

8000×

body

valid

Details

analyze6.0ms

sample28.0ms

simplify292.0ms

prune4.0ms

localize12.0ms

rewrite54.0ms

series57.0ms

simplify105.0ms

prune244.0ms

localize17.0ms

rewrite47.0ms

series233.0ms

simplify68.0ms

prune241.0ms

localize21.0ms

rewrite24.0ms

series107.0ms

simplify102.0ms

prune155.0ms

localize20.0ms

rewrite47.0ms

series210.0ms

simplify110.0ms

prune216.0ms

regimes54.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample706.0ms

Profiling