Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

289×

body

valid

simplify11.0ms

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: 3.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.9b	(* 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)))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (64.0ms)

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

prune64.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	26	9	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	9	36

Merged error: 3.0b

Counts

36 → 9

localize11.0ms

Local error

Found 2 expressions with local error:

2.9b	(* x (- 1.0 (* y z)))
53.5b	(fma (- z) y (* z y))

rewrite7.0ms

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:

5.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (- 1.0 (* y z)))
30.0ms	(fma (- z) y (* z y))

simplify76.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (71.0ms)

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

prune97.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	48	9	57

Merged error: 3.0b

Counts

57 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* y z))))
5.1b	(* 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)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (* x 1.0) (* x (- (* y z))))
25.0ms	(* x (- (* y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (40.0ms)

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

prune92.0ms

Filtered

47 candidates to 38 candidates (80.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

1.1b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))
3.1b	(cbrt (- 1.0 (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

15.0ms	(* x (* (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)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
214.0ms	(cbrt (- 1.0 (* y z)))
223.0ms	(cbrt (- 1.0 (* y z)))
224.0ms	(cbrt (- 1.0 (* y z)))

simplify113.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	352	870
1	1111	811
2	4676	795
3	5001	783

prune213.0ms

Filtered

86 candidates to 74 candidates (86.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

regimes204.0ms

Accuracy

95.5% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	15
1	43	15
2	46	15
3	46	15

end0.0ms

sample380.0ms

Algorithm

intervals

Results

195.0ms

9588×

body

valid