Details

sample76.0ms

Algorithm

intervals

Results

31.0ms	695×	body	80	nan
17.0ms	256×	body	80	valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (log y) x (- (log t) (+ y z)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (log y) x (- (log t) (+ y z)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(fma (log y) x (- (log t) (+ y z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (66.0ms)

Iter	Nodes	Cost
0	73	93
1	171	80
2	482	78
3	2660	77
4	5002	74

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.2s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
316.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
305.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
310.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	393	1346
1	1549	1220
2	5001	1117

prune357.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
318.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
315.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
319.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	393	1346
1	1549	1220
2	5001	1117

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
330.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
324.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
327.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	212	868
1	667	776
2	3104	748
3	5001	732

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes197.0ms

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	10	5
1	10	5

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	24131×	body	80	nan
551.0ms	8032×	body	80	valid
0.0ms	1×	body	640	valid