Details

sample145.0ms

Algorithm

intervals

Results

109.0ms

604×

body

valid

simplify87.0ms

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: 12.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.7b	(* b (- (* c z) (* t i)))
5.4b	(* j (- (* c a) (* y i)))
6.0b	(* x (- (* y z) (* t a)))

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:

2.0ms	(- (* y z) (* t a))
9.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* x (- (* y z) (* t a)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
73.0ms	(* b (- (* c z) (* t i)))
69.0ms	(* j (- (* c a) (* y i)))
71.0ms	(* x (- (* y z) (* t a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (15.0ms)

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

prune424.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.4b

localize24.0ms

Local error

Found 4 expressions with local error:

4.6b	(* b (* c z))
4.9b	(* b (- (* t i)))
5.4b	(* j (- (* c a) (* y i)))
6.0b	(* x (- (* y z) (* t a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* b (* c z))
5.0ms	(* b (- (* t i)))
9.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* x (- (* y z) (* t a)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* b (* c z))
25.0ms	(* b (- (* t i)))
68.0ms	(* j (- (* c a) (* y i)))
69.0ms	(* x (- (* y z) (* t a)))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	445	484
1	2073	419
2	5002	419

prune457.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.7b

localize24.0ms

Local error

Found 4 expressions with local error:

4.6b	(* b (* c z))
4.9b	(* t (* i b))
5.4b	(* j (- (* c a) (* y i)))
6.0b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`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`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* b (* c z))
26.0ms	(* t (* i b))
68.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	438	454
1	1788	384
2	5001	384

prune421.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b	(* t (* i b))
5.2b	(* (* b c) z)
5.4b	(* j (- (* c a) (* y i)))
6.0b	(* x (- (* y z) (* t a)))

rewrite33.0ms

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×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* t (* i b))
6.0ms	(* (* b c) z)
9.0ms	(* j (- (* c a) (* y i)))
10.0ms	(* x (- (* y z) (* t a)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* t (* i b))
25.0ms	(* (* b c) z)
70.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	444	455
1	1912	385
2	5002	385

prune335.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.2b

regimes1.1s

Accuracy

24% (5.3b remaining)

Error of 10.8b against oracle of 5.6b and baseline of 12.5b

bsearch167.0ms

Steps

Iters	Range		Point
9	-1.170475810492528e+47	-7.603330337202555e+38	-1.5693231140139828e+40

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	50
1	69	50
2	71	50
3	71	50

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.6s

19067×

body

valid