Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	33×	body	1280	valid
9.0ms	180×	body	80	valid
5.0ms	22×	body	640	valid
3.0ms	17×	body	320	valid
0.0ms	4×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.2b	(* z (sin y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

6.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify91.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	223	348
1	754	317
2	3691	316
3	5001	309

prune140.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

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 (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
111.0ms	(cbrt (* z (sin y)))
111.0ms	(cbrt (* z (sin y)))
115.0ms	(cbrt (* z (sin y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368

prune209.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.7b	(cbrt (sin y))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
100.0ms	(cbrt (sin y))
115.0ms	(cbrt (* z (sin y)))
170.0ms	(cbrt (* z (sin y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune213.0ms

Filtered

60 candidates to 51 candidates (85.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	60	8	68

Merged error: 0.0b

Counts

68 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite16.0ms

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:

10.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))

simplify97.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune216.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	5	5
Picked	1	0	1
Done	1	1	2
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

regimes110.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

399.0ms	934×	body	1280	valid
302.0ms	5617×	body	80	valid
213.0ms	829×	body	640	valid
70.0ms	406×	body	320	valid
26.0ms	214×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5