Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	293×	body	80	valid
8.0ms	226×	body	80	nan

simplify69.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.2b	(* z (log t))

rewrite395.0ms

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:

261.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
116.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series229.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
33.0ms	(* (- a 0.5) b)
33.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify72.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5001	712

prune311.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

20.0ms	(+ (+ x y) (- z (* z (log t))))
10.0ms	(* (- a 0.5) b)
4.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (+ x y) (- z (* z (log t))))
29.0ms	(* (- a 0.5) b)
45.0ms	(* z (log t))
46.0ms	(- z (* z (log t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	518	585
1	2153	538
2	5001	529

prune476.0ms

Filtered

101 candidates to 67 candidates (66.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
0.0b	(- 1 (log t))
0.0b	(* (- a 0.5) b)
0.2b	(* (- 1 (log t)) z)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

61.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
3.0ms	(- 1 (log t))
10.0ms	(* (- a 0.5) b)
13.0ms	(* (- 1 (log t)) z)

series376.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
125.0ms	(- 1 (log t))
29.0ms	(* (- a 0.5) b)
70.0ms	(* (- 1 (log t)) z)

simplify103.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	859	1037
1	4296	994
2	5001	993

prune360.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)

rewrite23.0ms

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:

10.0ms	(* z (* 2 (log (cbrt t))))
8.0ms	(* z (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series553.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* z (* 2 (log (cbrt t))))
92.0ms	(* z (log (cbrt t)))
178.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (37.0ms)

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

prune364.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes263.0ms

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	23	8
1	23	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

412.0ms	9142×	body	80	valid
341.0ms	9022×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid