Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

306×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (13.0ms)

Iter	Nodes	Cost
0	16	3
1	24	3
2	38	3
3	45	3
4	53	3
5	57	3
6	67	3
7	309	2
8	2125	2
9	5001	2

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(fma (/ y z) x x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y z) x x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (/ y z) x x)

simplify143.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	44
1	62	39
2	205	39
3	849	39
4	4785	39
5	5001	39

prune36.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y z) x) x)
7.0b	(* (/ y z) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-out` `fma-def` `distribute-lft1-in` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 50

Calls

2 calls:

5.0ms	(+ (* (/ y z) x) x)
6.0ms	(* (/ y z) x)

series43.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* (/ y z) x) x)
20.0ms	(* (/ y z) x)

simplify90.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	224	212
1	833	195
2	3624	193
3	5001	191

prune120.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	3	0	3
Picked	0	1	1
Done	1	0	1
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (/ x z)) x)
4.5b	(* y (/ x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

5.0ms	(+ (* y (/ x z)) x)
6.0ms	(* y (/ x z))

series39.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* y (/ x z)) x)
18.0ms	(* y (/ x z))

simplify102.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	236	214
1	987	197
2	4326	196
3	5001	195

prune105.0ms

Filtered

54 candidates to 38 candidates (70.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Merged error: 0b

Counts

60 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
5.1b	(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt z)
241.0ms	(cbrt z)
189.0ms	(cbrt z)
47.0ms	(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify62.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	425	748
1	2234	609
2	5001	570

prune287.0ms

Filtered

112 candidates to 90 candidates (80.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes294.0ms

Accuracy

42.8% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.6b

bsearch96.0ms

Steps

Iters	Range	Point
9	3.264901175601854e+261	1.8087901004070339e+267	1.2123512671690593e+267
9	8.318741813801278e-85	7.788909384568339e-78	8.206352311906585e-79
10	-1.4497606012047558e+156	-1.5054982703030158e+138	-3.243716739064934e+138

Iters

Range

Point

3.264901175601854e+261

1.8087901004070339e+267

1.2123512671690593e+267

8.318741813801278e-85

7.788909384568339e-78

8.206352311906585e-79

-1.4497606012047558e+156

-1.5054982703030158e+138

-3.243716739064934e+138

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	28	6
2	31	6
3	31	6

end0.0ms

sample389.0ms

Algorithm

intervals

Results

201.0ms

9631×

body

valid