Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	28×	body	1280	valid
9.0ms	177×	body	80	valid
5.0ms	20×	body	640	valid
4.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

4.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ x (sin y))
38.0ms	(fma (cos y) z (+ x (sin y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	137
1	220	120
2	612	120
3	2378	120
4	5001	120

prune87.0ms

Filtered

33 candidates to 27 candidates (81.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite11.0ms

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 (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series711.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
174.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
171.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
172.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	349	1228
1	1568	1141
2	5001	1051

prune281.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite5.0ms

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:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series748.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
180.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
199.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify82.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	181	796
1	638	744
2	3397	708
3	5002	704

prune305.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
0.2b	(pow (+ x (sin y)) 3)
27.8b	(cbrt (pow (+ x (sin y)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

4 → 83

Calls

4 calls:

4.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
4.0ms	(pow (+ x (sin y)) 3)
4.0ms	(cbrt (pow (+ x (sin y)) 3))

series118.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (sin y))
37.0ms	(fma (cos y) z (cbrt (pow (+ x (sin y)) 3)))
33.0ms	(pow (+ x (sin y)) 3)
24.0ms	(cbrt (pow (+ x (sin y)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	259	458
1	1097	418
2	5001	408

prune218.0ms

Filtered

95 candidates to 61 candidates (64.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

regimes84.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

402.0ms	975×	body	1280	valid
282.0ms	5622×	body	80	valid
205.0ms	807×	body	640	valid
73.0ms	409×	body	320	valid
26.0ms	187×	body	160	valid