Details

analyze9.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	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
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.1b	(*.f64 841/108 x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2485`
4×	`add-cube-cbrt_binary64_2471` `pow1_binary64_2446` `add-log-exp_binary64_2465` `add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472` `*-un-lft-identity_binary64_2500`
3×	`associate-l_binary64_2560` `associate-r_binary64_2559`
1×	`flip3-+_binary64_2498` `+-commutative_binary64_2567` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `*-commutative_binary64_2568` `flip-+_binary64_2525` `cbrt-unprod_binary64_2469`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series31.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 (*.f64 841/108 x) 4/29)
12.0ms	(*.f64 841/108 x)

simplify75.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4853	275
1	4853	275

prune132.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0b

Counts

36 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.4b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2485`
25×	`pow1_binary64_2446`
20×	`add-exp-log_binary64_2464` `cbrt-prod_binary64_2467`
15×	`add-cube-cbrt_binary64_2471` `*-un-lft-identity_binary64_2500`
13×	`associate-r_binary64_2559`
11×	`add-cbrt-cube_binary64_2472` `pow-prod-down_binary64_2427`
10×	`associate-l_binary64_2560` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
6×	`pow1/3_binary64_2438` `add-log-exp_binary64_2465` `swap-sqr_binary64_2527` `unswap-sqr_binary64_2528`
3×	`*-commutative_binary64_2568`
2×	`pow-prod-up_binary64_2426` `pow-sqr_binary64_2533`
1×	`flip3-+_binary64_2498` `+-commutative_binary64_2567` `pow-plus_binary64_2441` `pow2_binary64_2437` `sum-log_binary64_2415` `flip-+_binary64_2525`

Counts

4 → 95

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
5.0ms	(*.f64 x (cbrt.f64 841/108))
19.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
6.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

series136.0ms

Counts

4 → 10

Calls

4 calls:

58.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
24.0ms	(*.f64 x (cbrt.f64 841/108))
54.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5929	898

prune340.0ms

Filtered

64 candidates to 105 candidates (-64.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2467`
23×	`add-sqr-sqrt_binary64_2485`
15×	`add-cube-cbrt_binary64_2471` `*-un-lft-identity_binary64_2500`
11×	`pow1_binary64_2446`
9×	`pow1/3_binary64_2438`
6×	`associate-l_binary64_2560` `add-exp-log_binary64_2464` `swap-sqr_binary64_2527` `associate-r_binary64_2559`
4×	`add-log-exp_binary64_2465` `add-cbrt-cube_binary64_2472` `unswap-sqr_binary64_2528`
2×	`pow-prod-up_binary64_2426` `pow-prod-down_binary64_2427` `pow-sqr_binary64_2533`
1×	`pow-plus_binary64_2441` `pow2_binary64_2437` `prod-exp_binary64_2451` `*-commutative_binary64_2568` `cbrt-unprod_binary64_2469`

Counts

4 → 73

Calls

4 calls:

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

series356.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
86.0ms	(cbrt.f64 x)
87.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5309	608

prune279.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 841/108 x))
0.0b	(+.f64 (log.f64 (exp.f64 (*.f64 841/108 x))) 4/29)
0.1b	(*.f64 841/108 x)
3.9b	(log.f64 (exp.f64 (*.f64 841/108 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2500`
10×	`add-sqr-sqrt_binary64_2485`
8×	`add-cube-cbrt_binary64_2471` `pow1_binary64_2446` `add-log-exp_binary64_2465`
6×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472` `log-prod_binary64_2418`
4×	`log-pow_binary64_2421`
3×	`associate-l_binary64_2560` `associate-+l+_binary64_2552` `associate-r_binary64_2559`
2×	`exp-prod_binary64_2454` `exp-to-pow_binary64_2440` `distribute-lft-out_binary64_2544`
1×	`flip3-+_binary64_2498` `+-commutative_binary64_2567` `rem-exp-log_binary64_2462` `sum-log_binary64_2415` `pow-prod-down_binary64_2427` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `rem-log-exp_binary64_2463` `*-commutative_binary64_2568` `flip-+_binary64_2525` `cbrt-unprod_binary64_2469`

Counts

4 → 58

Calls

4 calls:

2.0ms	(exp.f64 (*.f64 841/108 x))
5.0ms	(+.f64 (log.f64 (exp.f64 (*.f64 841/108 x))) 4/29)
3.0ms	(*.f64 841/108 x)
2.0ms	(log.f64 (exp.f64 (*.f64 841/108 x)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(exp.f64 (*.f64 841/108 x))
19.0ms	(+.f64 (log.f64 (exp.f64 (*.f64 841/108 x))) 4/29)
11.0ms	(*.f64 841/108 x)
13.0ms	(log.f64 (exp.f64 (*.f64 841/108 x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4968	529
1	4968	529

prune166.0ms

Filtered

46 candidates to 70 candidates (-52.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	5	75

Merged error: 0b

Counts

75 → 5

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample339.0ms

Algorithm

intervals

Results

229.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze9.0ms

sample20.0ms

simplify12.0ms

prune13.0ms

localize5.0ms

rewrite8.0ms

series31.0ms

simplify75.0ms

prune132.0ms

localize11.0ms

rewrite44.0ms

series136.0ms

simplify63.0ms

prune340.0ms

localize21.0ms

rewrite11.0ms

series356.0ms

simplify73.0ms

prune279.0ms

localize9.0ms

rewrite13.0ms

series47.0ms

simplify48.0ms

prune166.0ms

regimes69.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample339.0ms

Profiling