Details

sample66.0ms

Algorithm

intervals

Results

33.0ms

535×

body

valid

simplify80.0ms

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: 14.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))
6.0b	(* j (- (* c a) (* y i)))

rewrite32.0ms

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* c a) (* y i))
67.0ms	(* x (- (* y z) (* t a)))
72.0ms	(* b (- (* c z) (* t i)))
71.0ms	(* 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

prune416.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.9b

localize28.0ms

Local error

Found 4 expressions with local error:

6.0b	(* j (- (* c a) (* y i)))
6.3b	(cbrt (* b (- (* c z) (* t i))))
6.3b	(cbrt (* b (- (* c z) (* t i))))
6.3b	(cbrt (* b (- (* c z) (* t i))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

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

series485.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* j (- (* c a) (* y i)))
136.0ms	(cbrt (* b (- (* c z) (* t i))))
140.0ms	(cbrt (* b (- (* c z) (* t i))))
136.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify107.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	312	542
1	1097	489
2	4133	480
3	5001	477

prune445.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 4 expressions with local error:

5.8b	(* b (- (* c z) (* t i)))
6.0b	(* j (- (* c a) (* y i)))
6.0b	(* j (- (* c a) (* y i)))
6.0b	(* j (- (* c a) (* y i)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

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

series291.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* b (- (* c z) (* t i)))
80.0ms	(* j (- (* c a) (* y i)))
77.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* j (- (* c a) (* y i)))

simplify123.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	272	632
1	1129	552
2	4586	552
3	5001	552

prune508.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.9b

localize29.0ms

Local error

Found 4 expressions with local error:

6.0b	(* j (- (* c a) (* y i)))
6.9b	(cbrt (- (* c z) (* t i)))
6.9b	(cbrt (- (* c z) (* t i)))
6.9b	(cbrt (- (* c z) (* t 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 z) (* t i)))
2.0ms	(cbrt (- (* c z) (* t i)))
2.0ms	(cbrt (- (* c z) (* t i)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* j (- (* c a) (* y i)))
119.0ms	(cbrt (- (* c z) (* t i)))
117.0ms	(cbrt (- (* c z) (* t i)))
112.0ms	(cbrt (- (* c z) (* t i)))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	314	590
1	1050	543
2	3712	525
3	5001	519

prune371.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.9b

regimes1.1s

Accuracy

-2.5% (4.2b remaining)

Error of 12.9b against oracle of 8.7b and baseline of 12.8b

bsearch196.0ms

Steps

Iters	Range		Point
8	1.5693199963569142e-169	5.833123996636621e-166	1.682605210981775e-166
6	-5.879465345522512e-107	-5.8136989379700995e-108	-7.865747329538541e-108

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	37
1	50	37

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19202×

body

valid