Details

analyze917.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample43.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
3.0ms	47×	body	80	invalid
1.0ms	28×	body	80	nan

simplify488.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (478.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_4411`
13×	`*-un-lft-identity_binary64_4426`
12×	`log-prod_binary64_4344` `add-log-exp_binary64_4391`
11×	`add-cube-cbrt_binary64_4397`
8×	`pow1_binary64_4372` `associate-l_binary64_4486`
7×	`associate-r_binary64_4485` `add-exp-log_binary64_4390` `add-cbrt-cube_binary64_4398`
6×	`distribute-rgt-in_binary64_4469` `associate--r+_binary64_4481` `distribute-lft-in_binary64_4468`
3×	`diff-log_binary64_4342` `sum-log_binary64_4341`
2×	`-commutative_binary64_4494` `unswap-sqr_binary64_4454` `flip--_binary64_4452` `associate-l/_binary64_4488` `pow-prod-down_binary64_4353` `prod-exp_binary64_4377` `flip3--_binary64_4425` `cbrt-unprod_binary64_4395`
1×	`log-pow_binary64_4347` `distribute-lft-out--_binary64_4471` `difference-of-squares_binary64_4455` `sub-neg_binary64_4430` `associate--l+_binary64_4482`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 (-.f64 a 1/2) b)
9.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
4.0ms	(*.f64 z (log.f64 t))

series94.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(*.f64 (-.f64 a 1/2) b)
40.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
33.0ms	(*.f64 z (log.f64 t))

simplify68.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5144	960

prune297.0ms

Filtered

53 candidates to 76 candidates (-43.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.3b	(-.f64 z (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_4426`
18×	`add-sqr-sqrt_binary64_4411` `add-log-exp_binary64_4391`
12×	`log-prod_binary64_4344` `add-cube-cbrt_binary64_4397`
9×	`pow1_binary64_4372`
8×	`add-exp-log_binary64_4390` `associate-l_binary64_4486` `add-cbrt-cube_binary64_4398`
7×	`associate-r_binary64_4485`
6×	`distribute-rgt-in_binary64_4469` `associate--r+_binary64_4481` `distribute-lft-in_binary64_4468` `sum-log_binary64_4341`
4×	`flip--_binary64_4452` `frac-add_binary64_4416` `flip3--_binary64_4425`
3×	`flip-+_binary64_4451` `flip3-+_binary64_4424` `distribute-lft-out_binary64_4470` `diff-log_binary64_4342`
2×	`-commutative_binary64_4494` `unswap-sqr_binary64_4454` `associate-l/_binary64_4488` `sub-neg_binary64_4430` `pow-prod-down_binary64_4353` `prod-exp_binary64_4377` `cbrt-unprod_binary64_4395`
1×	`log-pow_binary64_4347` `distribute-lft-out--_binary64_4471` `associate-+r+_binary64_4477` `associate-+l+_binary64_4478` `difference-of-squares_binary64_4455` `+-commutative_binary64_4493` `associate-+r-_binary64_4479`

Counts

4 → 87

Calls

4 calls:

9.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
11.0ms	(*.f64 (-.f64 a 1/2) b)
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))
4.0ms	(*.f64 z (log.f64 t))

series120.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
17.0ms	(*.f64 (-.f64 a 1/2) b)
35.0ms	(-.f64 z (*.f64 z (log.f64 t)))
32.0ms	(*.f64 z (log.f64 t))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4977	1463
1	4977	1463

prune341.0ms

Filtered

68 candidates to 99 candidates (-45.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 (log.f64 (cbrt.f64 t)) 2))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_4411`
13×	`*-un-lft-identity_binary64_4426` `add-cube-cbrt_binary64_4397`
12×	`pow1_binary64_4372` `cbrt-prod_binary64_4393` `log-prod_binary64_4344`
11×	`add-exp-log_binary64_4390` `add-cbrt-cube_binary64_4398`
6×	`associate-r_binary64_4485` `distribute-rgt-in_binary64_4469` `associate-l_binary64_4486` `distribute-lft-in_binary64_4468`
4×	`pow-prod-down_binary64_4353` `add-log-exp_binary64_4391` `prod-exp_binary64_4377` `cbrt-unprod_binary64_4395`
3×	`pow1/3_binary64_4364`
2×	`*-commutative_binary64_4494` `log-pow_binary64_4347`
1×	`unswap-sqr_binary64_4454`

Counts

4 → 72

Calls

4 calls:

5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
5.0ms	(.f64 z (.f64 (log.f64 (cbrt.f64 t)) 2))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series331.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
81.0ms	(.f64 z (.f64 (log.f64 (cbrt.f64 t)) 2))
84.0ms	(cbrt.f64 t)
90.0ms	(cbrt.f64 t)

simplify93.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5792	850

prune366.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 (log.f64 t) 2/3))
0.4b	(*.f64 (log.f64 t) 2/3)
0.6b	(cbrt.f64 t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_4411`
15×	`pow1_binary64_4372`
14×	`*-un-lft-identity_binary64_4426` `add-cube-cbrt_binary64_4397`
13×	`add-exp-log_binary64_4390` `add-cbrt-cube_binary64_4398`
12×	`log-prod_binary64_4344`
10×	`associate-l_binary64_4486`
9×	`associate-r_binary64_4485` `cbrt-prod_binary64_4393`
6×	`distribute-rgt-in_binary64_4469` `distribute-lft-in_binary64_4468`
5×	`pow-prod-down_binary64_4353` `prod-exp_binary64_4377` `cbrt-unprod_binary64_4395`
4×	`add-log-exp_binary64_4391`
3×	`*-commutative_binary64_4494` `log-pow_binary64_4347`
2×	`unswap-sqr_binary64_4454` `pow1/3_binary64_4364`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
9.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
4.0ms	(*.f64 (log.f64 t) 2/3)
1.0ms	(cbrt.f64 t)

series257.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
35.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
58.0ms	(*.f64 (log.f64 t) 2/3)
86.0ms	(cbrt.f64 t)

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4955	926
1	4955	926

prune316.0ms

Filtered

59 candidates to 92 candidates (-55.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	24
1	55	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

496.0ms	7995×	body	80	valid
266.0ms	1181×	body	80	nan
72.0ms	1222×	body	80	invalid
1.0ms	1×	body	2560	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid

Details

analyze917.0ms

sample43.0ms

simplify488.0ms

prune10.0ms

localize25.0ms

rewrite23.0ms

series94.0ms

simplify68.0ms

prune297.0ms

localize20.0ms

rewrite30.0ms

series120.0ms

simplify94.0ms

prune341.0ms

localize28.0ms

rewrite15.0ms

series331.0ms

simplify93.0ms

prune366.0ms

localize32.0ms

rewrite23.0ms

series257.0ms

simplify66.0ms

prune316.0ms

regimes1.1s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling