Details

sample71.0ms

Algorithm

intervals

Results

35.0ms

586×

body

valid

simplify81.0ms

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

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
3.6b	(* x (- (* y z) (* t a)))
5.6b	(* j (- (* c t) (* i y)))
7.5b	(* b (- (* c z) (* i a)))

rewrite24.0ms

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:

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

series257.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* c z) (* i a))
72.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c t) (* i y)))
75.0ms	(* b (- (* c z) (* i a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune435.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b	(* j (* c t))
3.6b	(* x (- (* y z) (* t a)))
5.4b	(* j (- (* i y)))
7.5b	(* b (- (* c z) (* i a)))

rewrite28.0ms

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	(* j (* c t))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* j (- (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* j (* c t))
72.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* j (- (* i y)))
69.0ms	(* b (- (* c z) (* i a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

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

prune458.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.6b	(* x (- (* y z) (* t a)))
4.7b	(* (* j c) t)
5.4b	(* j (- (* i y)))
7.5b	(* b (- (* c z) (* i a)))

rewrite24.0ms

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:

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

series199.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* (* j c) t)
29.0ms	(* j (- (* i y)))
73.0ms	(* 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	2201	420
2	5001	420

prune456.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.6b	(* x (- (* y z) (* t a)))
4.7b	(* (* j c) t)
5.0b	(* (* j (- i)) y)
7.5b	(* b (- (* c z) (* i a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l` `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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* (* j c) t)
30.0ms	(* (* j (- i)) y)
73.0ms	(* b (- (* c z) (* i a)))

simplify63.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	476	478
1	2203	408
2	5003	408

prune543.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.6b

regimes1.0s

Accuracy

50.4% (3.5b remaining)

Error of 9.3b against oracle of 5.8b and baseline of 12.9b

bsearch235.0ms

Steps

Iters	Range		Point
7	6.127831162029658e+16	4.0078607961803397e+18	1.0808950574475194e+18
9	-66949431.36780037	-18.88201990899592	-28270.956947243703

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	67
1	99	67
2	103	67
3	103	67

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18949×

body

valid