Details

sample70.0ms

Algorithm

intervals

Results

37.0ms

597×

body

valid

simplify86.0ms

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: 14.7b

localize20.0ms

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)))

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

series231.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c z) (* i a))
65.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

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

prune410.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.1b

localize26.0ms

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)))

rewrite32.0ms

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

series185.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* b (* c z))
24.0ms	(* b (- (* i a)))
68.0ms	(* j (- (* c t) (* i y)))
69.0ms	(* x (- (* y z) (* t a)))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

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

prune449.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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	(* a (* i b))
6.0ms	(* b (* c z))
12.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* x (- (* y z) (* t a)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* a (* i b))
24.0ms	(* b (* c z))
67.0ms	(* j (- (* c t) (* i y)))
66.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	439	454
1	1796	384
2	5002	384

prune428.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* a (* i b))
25.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
6.0ms	(* b (* c z))
13.0ms	(* x (- (* y z) (* t a)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* a (* i b))
99.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
24.0ms	(* b (* c z))
69.0ms	(* x (- (* y z) (* t a)))

simplify70.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	537	724
1	2092	525
2	5002	468

prune369.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.2b

regimes1.3s

Accuracy

42.4% (4.3b remaining)

Error of 9.6b against oracle of 5.2b and baseline of 12.8b

bsearch211.0ms

Steps

Iters	Range		Point
7	1.7133719513284803e+17	5.042884663161709e+18	4.954531051790429e+18
8	-2.8843077602314214e+87	-3.2807184210938455e+84	-3.3177549001920184e+84

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	42
1	82	42
2	99	42
3	99	42

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

18839×

body

valid