Details

sample62.0ms

Algorithm

intervals

Results

14.0ms	367×	body	80	nan
13.0ms	309×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 3 expressions with local error:

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))

rewrite668.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

504.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
154.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series217.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
41.0ms	(- (+ (+ x y) z) (* z (log t)))
38.0ms	(* z (log t))

simplify63.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	491	684
1	2317	641
2	5001	636

prune216.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

32.0ms	(- (* (- a 0.5) b) (* z (log t)))
181.0ms	(+ (+ (+ x y) z) (- (* (- a 0.5) b) (* z (log t))))
8.0ms	(* z (log t))

series238.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (* (- a 0.5) b) (* z (log t)))
156.0ms	(+ (+ (+ x y) z) (- (* (- a 0.5) b) (* z (log t))))
36.0ms	(* z (log t))

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	478	726
1	2243	683
2	5001	678

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* z (log (cbrt t)))
27.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series555.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* z (log (cbrt t)))
101.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
176.0ms	(cbrt t)
186.0ms	(cbrt t)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	346	729
1	1432	634
2	5001	547

prune476.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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

series717.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
185.0ms	(cbrt t)
179.0ms	(cbrt t)
176.0ms	(cbrt t)

simplify131.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune321.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes479.0ms

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	28	14
1	28	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

405.0ms	9222×	body	80	valid
323.0ms	9050×	body	80	nan
0.0ms	2×	body	320	valid