Details

sample86.0ms

Algorithm

intervals

Results

38.0ms

642×

body

valid

simplify85.0ms

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: 12.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
5.2b	(* b (- (* c z) (* i a)))
6.4b	(* x (- (* y z) (* t a)))

rewrite89.0ms

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:

9.0ms	(- (* c t) (* i y))
25.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c t) (* i y))
72.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune388.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.8b

localize25.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
5.0b	(* x (- (* t a)))
5.0b	(* x (* y z))
5.2b	(* b (- (* c z) (* i a)))

rewrite84.0ms

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:

25.0ms	(* j (- (* c t) (* i y)))
14.0ms	(* x (- (* t a)))
16.0ms	(* x (* y z))
26.0ms	(* b (- (* c z) (* i a)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* x (- (* t a)))
24.0ms	(* x (* y z))
70.0ms	(* b (- (* c z) (* i a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	444	484
1	2062	419
2	5001	419

prune437.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.6b

localize21.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* x y) z)
4.4b	(* j (- (* c t) (* i y)))
5.0b	(* x (- (* t a)))
5.2b	(* b (- (* c z) (* i a)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
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:

17.0ms	(* (* x y) z)
25.0ms	(* j (- (* c t) (* i y)))
12.0ms	(* x (- (* t a)))
28.0ms	(* b (- (* c z) (* i a)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x y) z)
69.0ms	(* j (- (* c t) (* i y)))
33.0ms	(* x (- (* t a)))
68.0ms	(* b (- (* c z) (* i a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	454	485
1	2221	420
2	5001	420

prune431.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.1b

localize27.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* x y) z)
4.4b	(* j (- (* c t) (* i y)))
5.2b	(* a (* x t))
5.2b	(* b (- (* c z) (* i a)))

rewrite88.0ms

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:

17.0ms	(* (* x y) z)
27.0ms	(* j (- (* c t) (* i y)))
15.0ms	(* a (* x t))
26.0ms	(* b (- (* c z) (* i a)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x y) z)
74.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* a (* x t))
72.0ms	(* b (- (* c z) (* i a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	447	455
1	1960	385
2	5001	385

prune348.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.1b

regimes952.0ms

Accuracy

41.1% (4.2b remaining)

Error of 10.0b against oracle of 5.8b and baseline of 13.0b

bsearch265.0ms

Steps

Iters	Range		Point
10	6.200309266674197e+38	1.0204225172876538e+53	8.590299919376647e+46
10	-4.0485107800212577e-159	-2.7162382126371675e-175	-3.9888254754550375e-159

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	50
1	88	50
2	93	50
3	93	50

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19220×

body

valid