Details

sample69.0ms

Algorithm

intervals

Results

27.0ms	829×	body	80	nan
10.0ms	257×	body	80	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

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

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize10.0ms

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:

1.0ms

(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)))

simplify65.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (63.0ms)

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

prune45.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`associate-+r+` `*-un-lft-identity`
16×	`prod-diff`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
9×	`pow1` `add-log-exp`
5×	`log-pow`
4×	`add-exp-log` `associate-l` `sum-log` `add-cbrt-cube` `distribute-lft-out`
3×	`log-prod` `associate-r` `associate--l+`
2×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
1×	`+-commutative` `associate-+r-` `sub-neg` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

11.0ms	(+ (* (log y) x) (- (log t) (+ y z)))
4.0ms	(* (log y) x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* (log y) x) (- (log t) (+ y z)))
59.0ms	(* (log y) x)

simplify117.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	307	433
1	937	350
2	4253	318
3	5001	314

prune145.0ms

Filtered

65 candidates to 39 candidates (60.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
62.2b	(fma (- (cbrt (+ y z))) (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) (* (cbrt (+ y z)) (cbrt (+ y z)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`fma-udef`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
1.0ms	(fma (- (cbrt (+ y z))) (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) (* (cbrt (+ y z)) (cbrt (+ y z)))))

series452.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (+ y z))
136.0ms	(cbrt (+ y z))
122.0ms	(cbrt (+ y z))
73.0ms	(fma (- (cbrt (+ y z))) (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt (+ y z)) (* (cbrt (+ y z)) (cbrt (+ y z)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	149	484
1	385	427
2	1404	416
3	5001	398

prune300.0ms

Filtered

70 candidates to 63 candidates (90.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
0.5b	(cbrt (* (log y) x))
0.5b	(cbrt (* (log y) x))
0.5b	(cbrt (* (log y) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
2.0ms	(cbrt (* (log y) x))
2.0ms	(cbrt (* (log y) x))
2.0ms	(cbrt (* (log y) x))

series491.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
111.0ms	(cbrt (* (log y) x))
117.0ms	(cbrt (* (log y) x))
111.0ms	(cbrt (* (log y) x))

simplify87.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	196	484
1	621	421
2	3071	377
3	5001	361

prune230.0ms

Filtered

78 candidates to 57 candidates (73.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

regimes169.0ms

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	18	23
1	18	23

end0.0ms

sample2.0s

Algorithm

intervals

Results

845.0ms	24432×	body	80	nan
340.0ms	8025×	body	80	valid
0.0ms	2×	body	640	valid