Details

sample77.0ms

Algorithm

intervals

Results

26.0ms	91×	body	1280	valid
16.0ms	91×	body	640	valid
12.0ms	279×	body	80	valid
7.0ms	32×	body	320	valid
2.0ms	18×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

4.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series261.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (sinh y) y)
63.0ms	(sinh y)
106.0ms	(* (sin x) (/ (sinh y) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune169.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0b	(* (sin x) (sqrt (/ (sinh y) y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`add-sqr-sqrt` `sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 84

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
13.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
12.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sinh y)
63.0ms	(sinh y)
125.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
191.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	847	1030
1	4244	898
2	5001	890

prune277.0ms

Filtered

96 candidates to 73 candidates (76.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(pow (/ (sinh y) y) 3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
66×	`add-sqr-sqrt`
56×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`div-inv`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sinh-def` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

1.0ms	(sinh y)
5.0ms	(cbrt (pow (/ (sinh y) y) 3))
14.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
5.0ms	(pow (/ (sinh y) y) 3)

series428.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sinh y)
100.0ms	(cbrt (pow (/ (sinh y) y) 3))
119.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
138.0ms	(pow (/ (sinh y) y) 3)

simplify86.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	590	1050
1	2752	948
2	5001	927

prune305.0ms

Filtered

165 candidates to 91 candidates (55.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	165	5	170

Merged error: 0.0b

Counts

170 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.4b	(/ (* (sin x) (sinh y)) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series275.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sinh y)
94.0ms	(* (sin x) (sinh y))
112.0ms	(/ (* (sin x) (sinh y)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5001	255

prune107.0ms

Filtered

58 candidates to 41 candidates (70.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	58	5	63

Merged error: 0b

Counts

63 → 5

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

874.0ms	2989×	body	1280	valid
458.0ms	2437×	body	640	valid
368.0ms	8486×	body	80	valid
156.0ms	1199×	body	320	valid
55.0ms	622×	body	160	valid