Details

sample75.0ms

Algorithm

intervals

Results

40.0ms

597×

body

valid

simplify77.0ms

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: 14.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
5.8b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))
6.6b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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

series231.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* i a))
67.0ms	(* j (- (* c t) (* i y)))
62.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune395.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.1b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (* c z))
5.3b	(* b (- (* i a)))
5.8b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite23.0ms

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:

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

series179.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* b (* c z))
23.0ms	(* b (- (* i a)))
66.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* x (- (* y z) (* t a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	445	484
1	2066	419
2	5002	419

prune431.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.9b

localize27.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* b i) (- a))
4.7b	(* b (* c z))
5.8b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

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

series181.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* b i) (- a))
27.0ms	(* b (* c z))
63.0ms	(* j (- (* c t) (* i y)))
68.0ms	(* x (- (* y z) (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	507	500
1	2330	430
2	5001	430

prune431.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* b i) (- a))
3.5b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
4.7b	(* b (* c z))
6.6b	(* x (- (* y z) (* t a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

6.0ms	(* (* b i) (- a))
11.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.0ms	(* b (* c z))
6.0ms	(* x (- (* y z) (* t a)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* b i) (- a))
104.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
24.0ms	(* b (* c z))
67.0ms	(* x (- (* y z) (* t a)))

simplify70.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	605	770
1	2627	571
2	5002	514

prune392.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.2b

regimes1.2s

Accuracy

39.1% (4.6b remaining)

Error of 9.8b against oracle of 5.2b and baseline of 12.8b

bsearch199.0ms

Steps

Iters	Range		Point
8	52181306.525890164	919843161517.7377	904684009115.7268
6	-5.153928876453225e+124	-6.157646902925137e+123	-6.28381961732832e+123

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	41
1	66	41
2	73	41
3	73	41

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18839×

body

valid