Details

sample135.0ms

Algorithm

intervals

Results

99.0ms

589×

body

valid

simplify84.0ms

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: 13.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* c a) (* y i))
4.6b	(* x (- (* y z) (* t a)))
4.9b	(* b (- (* c z) (* t i)))
7.4b	(* j (- (* c a) (* y i)))

rewrite33.0ms

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

series236.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c a) (* y i))
64.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* j (- (* c a) (* y i)))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

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

prune410.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.5b

localize31.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* j (- (* c a) (* y i))))
7.4b	(* j (- (* c a) (* y i)))
7.4b	(* j (- (* c a) (* y i)))
7.4b	(* j (- (* c a) (* y i)))

rewrite34.0ms

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:

4.0ms	(cbrt (* j (- (* c a) (* y i))))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* j (- (* c a) (* y i)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (* j (- (* c a) (* y i))))
68.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* j (- (* c a) (* y i)))
70.0ms	(* j (- (* c a) (* y i)))

simplify102.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	255	602
1	914	531
2	3483	528
3	5002	527

prune510.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.5b

localize35.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* j (- (* c a) (* y i))))
7.4b	(* j (- (* c a) (* y i)))
7.4b	(* j (- (* c a) (* y i)))
9.6b	(cbrt (- (* c a) (* y i)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

4.0ms	(cbrt (* j (- (* c a) (* y i))))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* j (- (* c a) (* y i)))
2.0ms	(cbrt (- (* c a) (* y i)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (* j (- (* c a) (* y i))))
64.0ms	(* j (- (* c a) (* y i)))
64.0ms	(* j (- (* c a) (* y i)))
113.0ms	(cbrt (- (* c a) (* y i)))

simplify100.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	331	588
1	1103	528
2	4029	519
3	5001	515

prune489.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.5b

localize35.0ms

Local error

Found 4 expressions with local error:

7.4b	(* j (- (* c a) (* y i)))
9.6b	(cbrt (- (* c a) (* y i)))
9.6b	(cbrt (- (* c a) (* y i)))
9.6b	(cbrt (- (* c a) (* y i)))

rewrite17.0ms

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:

9.0ms	(* j (- (* c a) (* y i)))
2.0ms	(cbrt (- (* c a) (* y i)))
2.0ms	(cbrt (- (* c a) (* y i)))
2.0ms	(cbrt (- (* c a) (* y i)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* j (- (* c a) (* y i)))
112.0ms	(cbrt (- (* c a) (* y i)))
112.0ms	(cbrt (- (* c a) (* y i)))
117.0ms	(cbrt (- (* c a) (* y i)))

simplify89.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	265	590
1	885	543
2	3199	525
3	5002	519

prune438.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 9.5b

regimes1.1s

Accuracy

-1.9% (4.0b remaining)

Error of 12.7b against oracle of 8.7b and baseline of 12.6b

bsearch248.0ms

Steps

Iters	Range		Point
10	1.9926135818594584e-140	2.818607705976005e-121	6.992742963602158e-128
7	-2.542214084134384e-276	-7.928328770543327e-278	-2.5069362686778033e-276

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	57
1	63	57
2	63	57

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.3s

19242×

body

valid