Details

sample68.0ms

Algorithm

intervals

Results

35.0ms

582×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
5.0b	(* b (- (* c z) (* t i)))
6.1b	(* x (- (* y z) (* t a)))
6.1b	(* j (- (* c a) (* y i)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* y z) (* t a))
9.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c a) (* y i)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) (* t a))
61.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* j (- (* c a) (* y i)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune409.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.7b

localize27.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.5b	(* (cbrt j) (- (* c a) (* y i)))
5.0b	(* b (- (* c z) (* t i)))
6.1b	(* x (- (* y z) (* t a)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

24.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
10.0ms	(* (cbrt j) (- (* c a) (* y i)))
9.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* x (- (* y z) (* t a)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
265.0ms	(* (cbrt j) (- (* c a) (* y i)))
67.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify78.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	574	966
1	2600	762
2	5003	699

prune523.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.2b

localize27.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* c z) (* t i)))
5.0b	(* (- j) (* y i))
6.1b	(* x (- (* y z) (* t a)))
6.4b	(* a (* j c))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* b (- (* c z) (* t i)))
8.0ms	(* (- j) (* y i))
9.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* a (* j c))

series185.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* (- j) (* y i))
68.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* a (* j c))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	483	497
1	2033	427
2	5001	427

prune463.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.9b

localize27.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* c z) (* t i)))
5.1b	(* (* (- j) y) i)
6.1b	(* x (- (* y z) (* t a)))
6.4b	(* a (* j c))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-lft-neg-out` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(* b (- (* c z) (* t i)))
8.0ms	(* (* (- j) y) i)
9.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* a (* j c))

series182.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* (* (- j) y) i)
67.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* a (* j c))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	466	476
1	2069	406
2	5001	406

prune339.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.5b

regimes1.1s

Accuracy

5.1% (6.8b remaining)

Error of 12.5b against oracle of 5.7b and baseline of 12.9b

bsearch191.0ms

Steps

Iters	Range		Point
6	2.480520828150178e-227	2.445506978109496e-226	2.6424334011412275e-227
10	-6.6339712040070775e-105	-1.5392517433230424e-114	-2.0888365422142503e-114

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	55
1	92	55
2	101	55
3	101	55

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

18842×

body

valid