Details

Time bar (total: 9.6s)

sample121.0ms

Algorithm
intervals
Results
52.0ms638×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune10.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c a) (* y i))
6.1b
(* j (- (* c a) (* y i)))
6.6b
(* b (- (* c z) (* t i)))
6.9b
(* x (- (* y z) (* t a)))

rewrite22.0ms

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

series66.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c a) (* y i))
18.0ms
(* j (- (* c a) (* y i)))
20.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune609.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New742296
Fresh000
Picked101
Done000
Total752297

Merged error: 12.1b

Counts
97 → 22

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b
(* j (* c a))
5.7b
(* j (neg (* y i)))
6.6b
(* b (- (* c z) (* t i)))
6.9b
(* x (- (* y z) (* t a)))

rewrite22.0ms

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
(* j (* c a))
4.0ms
(* j (neg (* y i)))
5.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (- (* y z) (* t a)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* j (* c a))
7.0ms
(* j (neg (* y i)))
20.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* x (- (* y z) (* t a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0443484
12066419
25002419

prune626.0ms

Filtered
100 candidates to 67 candidates (33.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh31821
Picked101
Done000
Total10121122

Merged error: 10.8b

Counts
122 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

6.6b
(* b (- (* c z) (* t i)))
8.0b
(cbrt (- (* y z) (* t a)))
8.0b
(cbrt (- (* y z) (* t a)))
8.0b
(cbrt (- (* y z) (* t a)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 63
Calls
4 calls:
5.0ms
(* b (- (* c z) (* t i)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* b (- (* c z) (* t i)))
36.0ms
(cbrt (- (* y z) (* t a)))
36.0ms
(cbrt (- (* y z) (* t a)))
39.0ms
(cbrt (- (* y z) (* t a)))

simplify99.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0309605
11064558
23840546
35001537

prune865.0ms

Filtered
75 candidates to 59 candidates (21.3%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh02020
Picked011
Done000
Total752196

Merged error: 10.8b

Counts
96 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (cbrt x) (- (* y z) (* t a)))
3.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
6.1b
(* j (- (* c a) (* y i)))
6.6b
(* b (- (* c z) (* t i)))

rewrite34.0ms

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:
6.0ms
(* (cbrt x) (- (* y z) (* t a)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (cbrt x) (- (* y z) (* t a)))
24.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
18.0ms
(* j (- (* c a) (* y i)))
18.0ms
(* b (- (* c z) (* t i)))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0589987
12480780
25001717

prune607.0ms

Filtered
120 candidates to 71 candidates (40.8%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1164120
Fresh31619
Picked101
Done011
Total12021141

Merged error: 9.4b

Counts
141 → 21

regimes2.4s

Accuracy

6.9% (6.2b remaining)

Error of 12.2b against oracle of 6.0b and baseline of 12.6b

bsearch258.0ms

Steps
ItersRangePoint
9
1.1700240700336661e-59
8.96027140217301e-53
1.0976678194119777e-55
6
-1.3874887109110649e-300
-1.2265979855625788e-301
-1.2524382493015313e-301

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08672
19472
29872
39872

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s19122×body80valid

Profiling

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