Details

Time bar (total: 8.5s)

sample116.0ms

Algorithm
intervals
Results
82.0ms590×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
4.7b
(* j (- (* c a) (* y i)))
4.8b
(* b (- (* c z) (* t i)))
7.4b
(* x (- (* y z) (* t a)))

rewrite32.0ms

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

series232.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* y z) (* t a))
64.0ms
(* j (- (* c a) (* y i)))
63.0ms
(* b (- (* c z) (* t i)))
66.0ms
(* x (- (* y z) (* t a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0423552
11763485
25002485

prune437.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 10.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.7b
(* b (- (* t i)))
4.7b
(* j (- (* c a) (* y i)))
5.5b
(* b (* c z))
7.4b
(* x (- (* y z) (* t a)))

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
(* b (- (* t i)))
9.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (* c z))
10.0ms
(* x (- (* y z) (* t a)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* b (- (* t i)))
66.0ms
(* j (- (* c a) (* y i)))
24.0ms
(* b (* c z))
69.0ms
(* x (- (* y z) (* t a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0445484
12073419
25002419

prune490.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 8.3b

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b
(* j (- (* c a) (* y i)))
5.5b
(* b (* c z))
6.6b
(* x (- (* t a)))
6.6b
(* x (* y z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ unswap-sqr
1×distribute-lft-neg-in neg-mul-1 flip3-- distribute-rgt-neg-in distribute-rgt-neg-out flip--
Counts
4 → 82
Calls
4 calls:
9.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (* c z))
4.0ms
(* x (- (* t a)))
6.0ms
(* x (* y z))

series144.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* j (- (* c a) (* y i)))
23.0ms
(* b (* c z))
27.0ms
(* x (- (* t a)))
26.0ms
(* x (* y z))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0399395
11848335
25001335

prune478.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.9b

localize31.0ms

Local error

Found 4 expressions with local error:

4.7b
(* j (- (* c a) (* y i)))
5.3b
(* a (* x t))
5.5b
(* b (* c z))
6.6b
(* x (* y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-sqr-sqrt
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 78
Calls
4 calls:
9.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* a (* x t))
6.0ms
(* b (* c z))
6.0ms
(* x (* y z))

series144.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* j (- (* c a) (* y i)))
29.0ms
(* a (* x t))
25.0ms
(* b (* c z))
23.0ms
(* x (* y z))

simplify44.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0395365
11592300
25002300

prune349.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 3.7b

regimes1.6s

Accuracy

29.1% (6.3b remaining)

Error of 10.4b against oracle of 4.1b and baseline of 13.0b

bsearch259.0ms

Steps
ItersRangePoint
7
4.1363578236348043e-138
1.796487242545841e-136
7.0802173377050655e-137
9
-1285523271281.5593
-13210367.903403047
-1917941933.5076723

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09065
110865
212565
312565

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.7s18912×body80valid