Details

sample72.0ms

Algorithm

intervals

Results

28.0ms	829×	body	80	nan
13.0ms	257×	body	80	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* x (log y)) y)
40.0ms	(* x (log y))

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	170	218
1	515	200
2	1463	185
3	5001	185

prune123.0ms

Filtered

49 candidates to 32 candidates (65.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series720.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
177.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune322.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(pow (/ 1 y) -1/3)

series709.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
174.0ms	(cbrt y)
176.0ms	(cbrt y)
167.0ms	(pow (/ 1 y) -1/3)

simplify54.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	276	402
1	1209	361
2	5002	320

prune538.0ms

Filtered

106 candidates to 68 candidates (64.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))
3.0ms	(cbrt (* x (log y)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
104.0ms	(cbrt (* x (log y)))
105.0ms	(cbrt (* x (log y)))
109.0ms	(cbrt (* x (log y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	188	445
1	594	383
2	2797	337
3	5001	321

prune233.0ms

Filtered

70 candidates to 49 candidates (70.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

regimes247.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

824.0ms	24432×	body	80	nan
333.0ms	8025×	body	80	valid
0.0ms	2×	body	640	valid