Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	288×	body	80	valid
9.0ms	266×	body	80	nan

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series238.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- a 0.5) b)
132.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
39.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune345.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series550.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* z (* 2 (log (cbrt t))))
92.0ms	(* z (log (cbrt t)))
182.0ms	(cbrt t)
176.0ms	(cbrt t)

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	292	642
1	1160	565
2	5001	541

prune389.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series783.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (cbrt t))
178.0ms	(cbrt t)
174.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	191
1	141	177
2	357	169
3	1377	169
4	5001	169

prune444.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series856.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
313.0ms	(cbrt z)
187.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune272.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes697.0ms

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	37	21
1	37	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

407.0ms	9177×	body	80	valid
348.0ms	9262×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid