Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	31×	body	1280	valid
6.0ms	167×	body	80	valid
5.0ms	31×	body	640	valid
3.0ms	22×	body	320	valid
0.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

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:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune133.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0b

Counts

70 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series718.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt y) (cbrt y))
179.0ms	(cbrt y)
175.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune211.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0b

Counts

101 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.6b	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt y)
171.0ms	(cbrt y)
170.0ms	(cbrt y)
83.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	438	833
1	2355	680
2	5002	641

prune263.0ms

Filtered

112 candidates to 90 candidates (80.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
7.7b	(/ (* x (sin y)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

7.0ms	(* x (sin y))
5.0ms	(/ (* x (sin y)) y)

series94.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (sin y))
52.0ms	(/ (* x (sin y)) y)

simplify29.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	158	203
1	805	172
2	5001	172

prune85.0ms

Filtered

49 candidates to 35 candidates (71.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	3	1	4
Picked	0	1	1
Done	0	3	3
Total	50	7	57

Merged error: 0b

Counts

57 → 7

regimes98.0ms

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	6	3
1	6	3

end0.0ms

sample944.0ms

Algorithm

intervals

Results

261.0ms	900×	body	1280	valid
227.0ms	5261×	body	80	valid
175.0ms	962×	body	640	valid
75.0ms	585×	body	320	valid
31.0ms	292×	body	160	valid