Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

330×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (72.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune7.0ms

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: 3.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
2.9b	(* (fma (- y 1.0) z 1.0) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (- y 1.0) z 1.0)
4.0ms	(* (fma (- y 1.0) z 1.0) x)

series87.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma (- y 1.0) z 1.0)
58.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	108	166
1	323	137
2	1922	133
3	5001	133

prune83.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 2.9b

Counts

37 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
3.1b	(cbrt (fma (- y 1.0) z 1.0))
3.1b	(cbrt (fma (- y 1.0) z 1.0))
3.1b	(cbrt (fma (- y 1.0) z 1.0))

rewrite13.0ms

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 (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
2.0ms	(cbrt (fma (- y 1.0) z 1.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
108.0ms	(cbrt (fma (- y 1.0) z 1.0))
114.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify160.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	288	847
1	934	788
2	4339	703
3	5001	678

prune268.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 2.9b

Counts

101 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
2.7b	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
8.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

series737.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt x)
192.0ms	(cbrt x)
197.0ms	(cbrt x)
150.0ms	(* (fma (- y 1.0) z 1.0) (* (cbrt x) (cbrt x)))

simplify137.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	181	351
1	665	301
2	3282	274
3	5002	271

prune198.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	72	9	81

Merged error: 2.9b

Counts

81 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cbrt (fma (- y 1.0) z 1.0)) 6)
3.1b	(cbrt (fma (- y 1.0) z 1.0))
3.1b	(cbrt (fma (- y 1.0) z 1.0))
14.2b	(cbrt (pow (cbrt (fma (- y 1.0) z 1.0)) 6))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 69

Calls

4 calls:

3.0ms	(pow (cbrt (fma (- y 1.0) z 1.0)) 6)
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
3.0ms	(cbrt (pow (cbrt (fma (- y 1.0) z 1.0)) 6))

series469.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(pow (cbrt (fma (- y 1.0) z 1.0)) 6)
112.0ms	(cbrt (fma (- y 1.0) z 1.0))
113.0ms	(cbrt (fma (- y 1.0) z 1.0))
129.0ms	(cbrt (pow (cbrt (fma (- y 1.0) z 1.0)) 6))

simplify64.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	371	729
1	1235	672
2	5001	603

prune243.0ms

Filtered

81 candidates to 58 candidates (71.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	81	9	90

Merged error: 2.9b

Counts

90 → 9

regimes111.0ms

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.4b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample542.0ms

Algorithm

intervals

Results

309.0ms

10178×

body

valid