Details

sample76.0ms

Algorithm

intervals

Results

40.0ms

622×

body

valid

simplify78.0ms

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: 11.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
5.3b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))

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

series243.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
64.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* j (- (* c t) (* i y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune562.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.7b

localize25.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (- (* t a)))
4.6b	(* x (* y z))
5.3b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))

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:

4.0ms	(* x (- (* t a)))
6.0ms	(* x (* y z))
9.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* j (- (* c t) (* i y)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* x (- (* t a)))
23.0ms	(* x (* y z))
65.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* j (- (* c t) (* i y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	444	484
1	2062	419
2	5002	419

prune485.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.4b

localize24.0ms

Local error

Found 4 expressions with local error:

6.2b	(* j (- (* c t) (* i y)))
6.3b	(cbrt (- (* y z) (* t a)))
6.3b	(cbrt (- (* y z) (* t a)))
6.3b	(cbrt (- (* y z) (* t a)))

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 t) (* i y)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c t) (* i y)))
113.0ms	(cbrt (- (* y z) (* t a)))
116.0ms	(cbrt (- (* y z) (* t a)))
122.0ms	(cbrt (- (* y z) (* t a)))

simplify97.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	313	590
1	1064	543
2	3738	525
3	5001	519

prune490.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 7.4b

localize27.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (- (* t a)))
4.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
4.6b	(* x (* y z))
5.3b	(* b (- (* c z) (* i a)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

4.0ms	(* x (- (* t a)))
26.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
6.0ms	(* x (* y z))
9.0ms	(* b (- (* c z) (* i a)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* x (- (* t a)))
98.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
27.0ms	(* x (* y z))
63.0ms	(* b (- (* c z) (* i a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	542	754
1	2362	560
2	5001	503

prune429.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 6.1b

regimes1.3s

Accuracy

19.5% (5.7b remaining)

Error of 11.3b against oracle of 5.6b and baseline of 12.7b

bsearch251.0ms

Steps

Iters	Range		Point
10	2.7830411978596048e-61	9.870470436678903e-49	2.9315389170917194e-49
9	-4.497829858878791e-67	-4.131803792055584e-74	-7.466786521769455e-69

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	50
1	94	50
2	107	50
3	107	50

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18914×

body

valid