Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	28×	body	1280	valid
5.0ms	167×	body	80	valid
5.0ms	29×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	12×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

16.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)

series70.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (/ (sin y) y))
23.0ms	(/ (sin y) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

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

prune162.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

rewrite16.0ms

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:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series682.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt y) (cbrt y))
167.0ms	(cbrt y)
161.0ms	(cbrt y)
160.0ms	(cbrt y)

simplify87.0ms

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

prune265.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

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

series765.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
167.0ms	(cbrt y)
171.0ms	(cbrt y)
252.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	82	202
1	172	184
2	563	174
3	2341	174
4	5002	171

prune209.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.6b	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

rewrite46.0ms

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)
41.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt y)
169.0ms	(cbrt y)
177.0ms	(cbrt y)
78.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

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

prune267.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes135.0ms

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

sample828.0ms

Algorithm

intervals

Results

209.0ms	897×	body	1280	valid
168.0ms	5178×	body	80	valid
167.0ms	1029×	body	640	valid
58.0ms	566×	body	320	valid
29.0ms	330×	body	160	valid