Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

518×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (96.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune11.0ms

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: 3.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
0.0b	(- t (* z z))
3.7b	(* (* y 4.0) (- t (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

1.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
3.0ms	(- t (* z z))
8.0ms	(* (* y 4.0) (- t (* z z)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
38.0ms	(- t (* z z))
90.0ms	(* (* y 4.0) (- t (* z z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	279	440
1	1253	374
2	5002	367

prune194.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	65	8	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	8	74

Merged error: 1.2b

Counts

74 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
6.5b	(* (* y 4.0) (- (* z z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
7.0ms	(* (* y 4.0) (- (* z z)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
108.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
37.0ms	(* (* y 4.0) (- (* z z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	269	419
1	1440	346
2	5001	337

prune170.0ms

Filtered

60 candidates to 45 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	63	5	68

Merged error: 0.0b

Counts

68 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
0.0b	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
0.2b	(* (* (* y 4.0) (- z)) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

6.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
8.0ms	(* (* (* y 4.0) (- z)) z)

series250.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
108.0ms	(fma x x (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)))
37.0ms	(* (* (* y 4.0) (- z)) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	294	433
1	1491	369
2	5002	346

prune162.0ms

Filtered

59 candidates to 42 candidates (71.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (fma (* y 4.0) t (* (* (* y 4.0) (- z)) z)))
0.2b	(* (* (* y 4.0) (- z)) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

1.0ms	(fma x x (fma (* y 4.0) t (* (* (* y 4.0) (- z)) z)))
9.0ms	(* (* (* y 4.0) (- z)) z)

series145.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(fma x x (fma (* y 4.0) t (* (* (* y 4.0) (- z)) z)))
37.0ms	(* (* (* y 4.0) (- z)) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	209	267
1	1083	221
2	5002	217

prune92.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Merged error: 0.0b

Counts

46 → 6

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	24	7
2	33	7
3	33	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

627.0ms

15944×

body

valid