Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify163.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (60.0ms)

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

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: 1.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

1.7b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

4.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	94	116
1	301	98
2	1482	94
3	5002	94

prune59.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	17	6	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	7	24

Merged error: 1.7b

Counts

24 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
1.9b	(cbrt (fma (- y 1.0) z 1.0))
1.9b	(cbrt (fma (- y 1.0) z 1.0))
1.9b	(cbrt (fma (- y 1.0) z 1.0))

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:

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

series455.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
113.0ms	(cbrt (fma (- y 1.0) z 1.0))
105.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify142.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (127.0ms)

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

prune306.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 1.7b

Counts

100 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b	(cbrt (fma (- y 1.0) z 1.0))
1.9b	(cbrt (fma (- y 1.0) z 1.0))
1.9b	(cbrt (fma (- y 1.0) z 1.0))
1.9b	(cbrt (fma (- y 1.0) z 1.0))

rewrite7.0ms

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 (- 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))

series460.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (fma (- y 1.0) z 1.0))
112.0ms	(cbrt (fma (- y 1.0) z 1.0))
114.0ms	(cbrt (fma (- y 1.0) z 1.0))
117.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	146	552
1	360	520
2	1293	476
3	5002	448

prune311.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 1.7b

Counts

72 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

4.0ms

(- x (* x z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- x (* x z))

simplify50.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	89	96
1	288	84
2	1343	83
3	5001	69

prune52.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	20	11	31

Merged error: 1.7b

Counts

31 → 11

regimes133.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample456.0ms

Algorithm

intervals

Results

239.0ms

10064×

body

valid