Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

312×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (12.0ms)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b	(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)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma (/ y z) x x)

simplify135.0ms

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

prune30.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	10	5	15

Merged error: 0.1b

Counts

15 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y z) x) x)
5.6b	(* (/ y z) x)

rewrite15.0ms

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)
9.0ms	(* (/ y z) x)

series41.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* (/ y z) x) x)
18.0ms	(* (/ y z) x)

simplify86.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (82.0ms)

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

prune99.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.5b	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
16.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

series538.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt z)
173.0ms	(cbrt z)
171.0ms	(cbrt z)
22.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	410	1005
1	2224	673
2	5002	526

prune179.0ms

Filtered

102 candidates to 61 candidates (59.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

5.6b	(* (/ y z) x)
8.9b	(cbrt (* (/ y z) x))
8.9b	(cbrt (* (/ y z) x))
8.9b	(cbrt (* (/ y z) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 70

Calls

4 calls:

6.0ms	(* (/ y z) x)
4.0ms	(cbrt (* (/ y z) x))
4.0ms	(cbrt (* (/ y z) x))
4.0ms	(cbrt (* (/ y z) x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (/ y z) x)
76.0ms	(cbrt (* (/ y z) x))
80.0ms	(cbrt (* (/ y z) x))
81.0ms	(cbrt (* (/ y z) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	223	383
1	730	334
2	2817	307
3	5002	303

prune174.0ms

Filtered

82 candidates to 63 candidates (76.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

regimes132.0ms

Accuracy

-16.1% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.0b

bsearch80.0ms

Steps

Iters	Range		Point
8	6.754765221114525e+21	3.7691506217527497e+24	2.3921490732188917e+23
11	9.329907440437072e-297	1.2489490168949433e-272	6.845575849320127e-274

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms

sample447.0ms

Algorithm

intervals

Results

248.0ms

9642×

body

valid