Details

sample73.0ms

Algorithm

intervals

Results

37.0ms

625×

body

valid

simplify75.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
5.2b	(* b (- (* c z) (* i a)))
5.4b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))

rewrite43.0ms

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:

5.0ms	(- (* y z) (* t a))
16.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* x (- (* y z) (* t a)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
66.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* j (- (* c t) (* i y)))
82.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune419.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.3b

localize22.0ms

Local error

Found 4 expressions with local error:

4.3b	(* j (* c t))
5.2b	(* b (- (* c z) (* i a)))
5.5b	(* j (- (* i y)))
6.5b	(* 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	(* j (* c t))
9.0ms	(* b (- (* c z) (* i a)))
4.0ms	(* j (- (* i y)))
10.0ms	(* x (- (* y z) (* t a)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* j (* c t))
64.0ms	(* b (- (* c z) (* i a)))
31.0ms	(* j (- (* i y)))
68.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	445	484
1	2071	419
2	5002	419

prune450.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.4b

localize25.0ms

Local error

Found 4 expressions with local error:

4.3b	(* j (* c t))
5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))
6.7b	(* i (* y j))

rewrite32.0ms

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

series183.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	441	454
1	1813	384
2	5002	384

prune464.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.3b

localize33.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))
4.3b	(* j (* c t))
5.2b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

25.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))
6.0ms	(* j (* c t))
10.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (cbrt i) (cbrt i)) (* (cbrt i) (* y j)))
24.0ms	(* j (* c t))
67.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* x (- (* y z) (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	514	657
1	2190	502
2	5001	467

prune409.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.3b

regimes1.2s

Accuracy

12.7% (6.0b remaining)

Error of 11.8b against oracle of 5.9b and baseline of 12.7b

bsearch263.0ms

Steps

Iters	Range		Point
9	1.141275611886066e+118	1.3164191131068259e+126	3.698782976102966e+118
9	-9.515540617579718e-171	-1.0541634018634272e-177	-2.2733319676195215e-175

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	55
1	85	55
2	95	55
3	95	55

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

19171×

body

valid