Details

sample132.0ms

Algorithm

intervals

Results

92.0ms

644×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* y z) (* t a))
3.8b	(* j (- (* c a) (* y i)))
4.9b	(* b (- (* c z) (* t i)))
7.4b	(* x (- (* y z) (* t a)))

rewrite37.0ms

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:

3.0ms	(- (* y z) (* t a))
10.0ms	(* j (- (* c a) (* y i)))
12.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* x (- (* y z) (* t a)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
69.0ms	(* j (- (* c a) (* y i)))
71.0ms	(* b (- (* c z) (* t i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (16.0ms)

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

prune434.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.4b

localize23.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (- (* c z) (* t i)))
5.6b	(cbrt (- (* c z) (* t i)))
5.6b	(cbrt (- (* c z) (* t i)))
7.4b	(* x (- (* y z) (* t a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (- (* c z) (* t i)))
2.0ms	(cbrt (- (* c z) (* t i)))
2.0ms	(cbrt (- (* c z) (* t i)))
10.0ms	(* x (- (* y z) (* t a)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- (* c z) (* t i)))
123.0ms	(cbrt (- (* c z) (* t i)))
116.0ms	(cbrt (- (* c z) (* t i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify101.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	316	590
1	1059	543
2	3717	525
3	5002	519

prune479.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.4b

localize25.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (* x (- (* y z) (* t a))))
7.4b	(* x (- (* y z) (* t a)))
7.4b	(* x (- (* y z) (* t a)))
7.4b	(* x (- (* y z) (* t a)))

rewrite39.0ms

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`
8×	`associate-*r/`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 83

Calls

4 calls:

7.0ms	(cbrt (* x (- (* y z) (* t a))))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* x (- (* y z) (* t a)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (* x (- (* y z) (* t a))))
70.0ms	(* x (- (* y z) (* t a)))
71.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify101.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	257	602
1	923	531
2	3487	528
3	5002	527

prune537.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.4b

localize32.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(cbrt (* x (- (* y z) (* t a))))
7.4b	(* x (- (* y z) (* t a)))
7.4b	(* x (- (* y z) (* t a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
14.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* x (- (* y z) (* t a)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (* x (- (* y z) (* t a))))
146.0ms	(cbrt (* x (- (* y z) (* t a))))
71.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify99.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	257	572
1	923	510
2	3487	504
3	5002	502

prune493.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.4b

regimes1.1s

Accuracy

-1.7% (4.0b remaining)

Error of 12.0b against oracle of 8.1b and baseline of 12.0b

bsearch310.0ms

Steps

Iters	Range		Point
10	5.219216390956432e-196	1.4215515315860334e-184	8.476099776827794e-187
9	-7.631406994962456e-137	-2.0487105606360212e-143	-9.604262379034084e-142

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	48
1	60	48

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.6s

18904×

body

valid