Details

sample58.0ms

Algorithm

intervals

Results

12.0ms	293×	body	80	valid
11.0ms	313×	body	80	nan

simplify48.0ms

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

localize15.0ms

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)))
0.2b	(* z (log t))

rewrite689.0ms

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:

517.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
160.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series177.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
32.0ms	(- (+ (+ x y) z) (* z (log t)))
33.0ms	(* z (log t))

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (53.0ms)

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

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite18.0ms

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:

12.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(cbrt t)

series673.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt t) (cbrt t))
163.0ms	(cbrt t)
164.0ms	(cbrt t)
167.0ms	(cbrt t)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series613.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt t)
167.0ms	(cbrt t)
138.0ms	(cbrt (sqrt t))
141.0ms	(cbrt (sqrt t))

simplify46.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	106	242
1	279	224
2	1184	210
3	5002	208

prune337.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (- z (* z (log t))))
0.0b	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
0.2b	(* z (log t))
0.3b	(- z (* z (log t)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

36.0ms	(+ (+ x y) (- z (* z (log t))))
165.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
9.0ms	(* z (log t))
6.0ms	(- z (* z (log t)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ x y) (- z (* z (log t))))
119.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
39.0ms	(* z (log t))
41.0ms	(- z (* z (log t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	867	1328
1	4366	1285
2	5001	1283

prune364.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes473.0ms

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	31	19
1	31	19

end0.0ms

sample1.7s

Algorithm

intervals

Results

405.0ms	9178×	body	80	valid
324.0ms	9197×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid