Details

sample105.0ms

Algorithm

intervals

Results

52.0ms	753×	body	80	nan
23.0ms	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

65.0ms	(+ (- (- (* x (log y)) y) z) (log t))
3.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series135.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
56.0ms	(- (* x (log y)) y)
37.0ms	(* x (log y))

simplify83.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	333	472
1	1030	432
2	3338	405
3	5002	405

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite9.0ms

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))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series722.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
173.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify87.0ms

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

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(* x (log (* 1 (pow y 2/3))))
0.6b	(cbrt y)
6.2b	(pow y 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
8×	`associate-l` `add-cbrt-cube`
7×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `log-pow`
2×	`log-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
8.0ms	(* x (log (* 1 (pow y 2/3))))
0.0ms	(cbrt y)
1.0ms	(pow y 2/3)

series558.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (log (cbrt y)) x)
88.0ms	(* x (log (* 1 (pow y 2/3))))
176.0ms	(cbrt y)
177.0ms	(pow y 2/3)

simplify37.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	327
1	1097	273
2	5001	260

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
4.6b	(pow (cbrt y) 2/3)
5.6b	(pow (pow y 2/3) 2/3)
6.2b	(pow y 2/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `cbrt-prod` `pow-exp`
4×	`pow-to-exp` `pow-pow` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

0.0ms	(cbrt y)
2.0ms	(pow (cbrt y) 2/3)
3.0ms	(pow (pow y 2/3) 2/3)
1.0ms	(pow y 2/3)

series947.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
306.0ms	(pow (cbrt y) 2/3)
287.0ms	(pow (pow y 2/3) 2/3)
178.0ms	(pow y 2/3)

simplify76.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	220	259
1	697	236
2	2786	231
3	5001	222

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes224.0ms

Accuracy

0% (0.0b 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

sample3.2s

Algorithm

intervals

Results

1.6s	23833×	body	80	nan
735.0ms	8023×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid