Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

318×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	52	3
3	88	3
4	102	3
5	102	3

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: 2.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

5.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	151	195
1	598	171
2	2506	166
3	5003	160

prune55.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	6	36

Merged error: 2.7b

Counts

36 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))
49.6b	(fma (- z) y (* z y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

6.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (- 1.0 (* y z)))
24.0ms	(fma (- z) y (* z y))

simplify73.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	161	245
1	636	214
2	2643	209
3	5001	198

prune82.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 2.7b

Counts

54 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
6.4b	(* x (- (* y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (- (* y z))))
5.0ms	(* x (- (* y z)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* x 1.0) (* x (- (* y z))))
26.0ms	(* x (- (* y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	191	224
1	1076	197
2	5002	193

prune87.0ms

Filtered

47 candidates to 38 candidates (80.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

9.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series862.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
222.0ms	(cbrt (- 1.0 (* y z)))
215.0ms	(cbrt (- 1.0 (* y z)))
219.0ms	(cbrt (- 1.0 (* y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	369	1126
1	1440	1071
2	5002	1010

prune252.0ms

Filtered

107 candidates to 83 candidates (77.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

regimes157.0ms

Accuracy

48.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	37	14
2	40	14
3	40	14

end0.0ms

sample458.0ms

Algorithm

intervals

Results

248.0ms

9676×

body

valid