Details

Time bar (total: 7.0s)

sample72.0ms

Algorithm
intervals
Results
37.0ms582×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* y z) (* t a))
5.0b
(* b (- (* c z) (* t i)))
6.1b
(* x (- (* y z) (* t a)))
6.1b
(* j (- (* c a) (* y i)))

rewrite38.0ms

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:
3.0ms
(- (* y z) (* t a))
10.0ms
(* b (- (* c z) (* t i)))
10.0ms
(* x (- (* y z) (* t a)))
12.0ms
(* j (- (* c a) (* y i)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* y z) (* t a))
67.0ms
(* b (- (* c z) (* t i)))
65.0ms
(* x (- (* y z) (* t a)))
67.0ms
(* j (- (* c a) (* y i)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423552
11763485
25002485

prune391.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.7b

localize23.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.5b
(* (cbrt j) (- (* c a) (* y i)))
5.0b
(* b (- (* c z) (* t i)))
6.1b
(* x (- (* y z) (* t a)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1 add-exp-log
19×add-sqr-sqrt
15×add-cbrt-cube
14×distribute-rgt-in distribute-lft-in
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
10×sub-neg associate-*r/ associate-*r*
4×cbrt-prod flip3-- *-commutative flip-- add-log-exp unswap-sqr
Counts
4 → 108
Calls
4 calls:
26.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
11.0ms
(* (cbrt j) (- (* c a) (* y i)))
10.0ms
(* b (- (* c z) (* t i)))
12.0ms
(* x (- (* y z) (* t a)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
261.0ms
(* (cbrt j) (- (* c a) (* y i)))
65.0ms
(* b (- (* c z) (* t i)))
66.0ms
(* x (- (* y z) (* t a)))

simplify82.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0574966
12600762
25003699

prune527.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.2b

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b
(* b (- (* c z) (* t i)))
5.0b
(* (- j) (* y i))
6.1b
(* x (- (* y z) (* t a)))
6.4b
(* a (* j c))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×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
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 92
Calls
4 calls:
13.0ms
(* b (- (* c z) (* t i)))
8.0ms
(* (- j) (* y i))
10.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* a (* j c))

series185.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* b (- (* c z) (* t i)))
25.0ms
(* (- j) (* y i))
68.0ms
(* x (- (* y z) (* t a)))
25.0ms
(* a (* j c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0483497
12033427
25001427

prune478.0ms

Filtered
104 candidates to 68 candidates (65.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.9b

localize24.0ms

Local error

Found 4 expressions with local error:

5.0b
(* b (- (* c z) (* t i)))
5.1b
(* i (* j y))
6.1b
(* x (- (* y z) (* t a)))
6.4b
(* a (* j c))

rewrite39.0ms

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:
13.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* i (* j y))
10.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* a (* j c))

series191.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* b (- (* c z) (* t i)))
24.0ms
(* i (* j y))
71.0ms
(* x (- (* y z) (* t a)))
26.0ms
(* a (* j c))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0437454
11780384
25001384

prune364.0ms

Filtered
96 candidates to 61 candidates (63.5%)
Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.5b

regimes1.2s

Accuracy

5% (6.8b remaining)

Error of 12.5b against oracle of 5.7b and baseline of 12.9b

bsearch230.0ms

Steps
ItersRangePoint
6
2.480520828150178e-227
2.445506978109496e-226
2.6424334011412275e-227
10
-6.6339712040070775e-105
-1.5392517433230424e-114
-2.0888365422142503e-114

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07956
19556
210556
310556

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s18842×body80valid