Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	293×	body	80	nan
14.0ms	295×	body	80	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
65×	`prod-diff`
54×	`add-sqr-sqrt`
48×	`distribute-lft-out`
37×	`add-cube-cbrt`
24×	`associate-r`
21×	`associate-l`
12×	`log-prod`
11×	`add-log-exp`
10×	`pow1`
7×	`unswap-sqr`
6×	`distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative` `associate--r+` `distribute-lft-out--`
5×	`fma-neg`
4×	`add-exp-log` `associate--l+` `add-cbrt-cube`
3×	`diff-log` `sum-log`
2×	`+-commutative` `expm1-log1p-u` `associate-+l+` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`

Counts

2 → 131

Calls

2 calls:

17.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series81.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (+ (+ x y) z) (* z (log t)))
42.0ms	(* z (log t))

simplify84.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	448	1792
1	1759	1208
2	5001	1138

prune188.0ms

Filtered

137 candidates to 54 candidates (60.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	5	138

Merged error: 0b

Counts

138 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (log t))
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
5×	`add-log-exp`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+`
2×	`add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip--` `fma-udef`

Counts

2 → 47

Calls

2 calls:

5.0ms	(- 1 (log t))
1.0ms	(fma z (- 1 (log t)) (+ x y))

series192.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(- 1 (log t))
58.0ms	(fma z (- 1 (log t)) (+ x y))

simplify115.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	207	362
1	722	231
2	3487	180
3	5001	179

prune110.0ms

Filtered

53 candidates to 31 candidates (41.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Merged error: 0b

Counts

58 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series810.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt t) (cbrt t))
194.0ms	(cbrt t)
200.0ms	(cbrt t)
191.0ms	(cbrt t)

simplify102.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune331.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3` `add-cbrt-cube`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series794.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt t) (cbrt t))
189.0ms	(cbrt t)
194.0ms	(cbrt t)
193.0ms	(pow t 1/3)

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	188	331
1	856	235
2	5001	217

prune529.0ms

Filtered

103 candidates to 74 candidates (28.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes272.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	17	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

425.0ms	9142×	body	80	valid
363.0ms	9150×	body	80	nan
0.0ms	1×	body	640	valid