Details

Time bar (total: 8.0s)

sample85.0ms

Algorithm
intervals
Results
50.0ms629×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c a) (* y i))
4.8b
(* b (- (* c z) (* t i)))
4.8b
(* j (- (* c a) (* y i)))
5.5b
(* x (- (* y z) (* t a)))

rewrite28.0ms

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))
9.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* j (- (* c a) (* y i)))
8.0ms
(* x (- (* y z) (* t a)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* c a) (* y i))
66.0ms
(* b (- (* c z) (* t i)))
66.0ms
(* j (- (* c a) (* y i)))
63.0ms
(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0423552
11763485
25002485

prune386.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New742296
Fresh000
Picked101
Done000
Total752297

Merged error: 7.9b

Counts
97 → 22

localize28.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (cbrt b) (- (* c z) (* t i)))
3.2b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
4.8b
(* j (- (* c a) (* y i)))
5.5b
(* x (- (* y z) (* t a)))

rewrite32.0ms

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 b) (- (* c z) (* t i)))
11.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series542.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (cbrt b) (- (* c z) (* t i)))
139.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
67.0ms
(* j (- (* c a) (* y i)))
70.0ms
(* x (- (* y z) (* t a)))

simplify99.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0575966
12592762
25003699

prune532.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh12021
Picked101
Done000
Total11824142

Merged error: 7.0b

Counts
142 → 24

localize23.0ms

Local error

Found 4 expressions with local error:

5.5b
(* x (- (* y z) (* t a)))
6.5b
(cbrt (- (* c z) (* t i)))
6.5b
(cbrt (- (* c z) (* t i)))
6.5b
(cbrt (- (* c z) (* t i)))

rewrite18.0ms

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:
6.0ms
(* x (- (* y z) (* t a)))
3.0ms
(cbrt (- (* c z) (* t i)))
4.0ms
(cbrt (- (* c z) (* t i)))
3.0ms
(cbrt (- (* c z) (* t i)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* x (- (* y z) (* t a)))
117.0ms
(cbrt (- (* c z) (* t i)))
117.0ms
(cbrt (- (* c z) (* t i)))
122.0ms
(cbrt (- (* c z) (* t i)))

simplify103.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0316590
11059543
23717525
35002519

prune430.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh02323
Picked011
Done000
Total752499

Merged error: 7.0b

Counts
99 → 24

localize24.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (cbrt x) (- (* y z) (* t a)))
3.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.8b
(* b (- (* c z) (* t i)))
4.8b
(* j (- (* c a) (* y i)))

rewrite33.0ms

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)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* j (- (* c a) (* y i)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt x) (- (* y z) (* t a)))
101.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
69.0ms
(* b (- (* c z) (* t i)))
68.0ms
(* j (- (* c a) (* y i)))

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0569968
12526762
25003699

prune352.0ms

Filtered
120 candidates to 71 candidates (59.2%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh12122
Picked101
Done011
Total12024144

Merged error: 7.0b

Counts
144 → 24

regimes1.3s

Accuracy

27.9% (3.7b remaining)

Error of 10.6b against oracle of 6.9b and baseline of 12.1b

bsearch265.0ms

Steps
ItersRangePoint
9
3.0581132552832994e+41
2.868611492098013e+50
2.823932297718458e+48
9
-4.932190791082422e+148
-6.912443658858865e+139
-1.3200722013240413e+146

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06560
16960
27660
37660

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s19100×body80valid