Details

Time bar (total: 7.8s)

sample84.0ms

Algorithm
intervals
Results
49.0ms589×body80valid

simplify89.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.0b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* y z) (* t a))
3.5b
(* j (- (* c a) (* y i)))
5.1b
(* x (- (* y z) (* t a)))
6.1b
(* b (- (* c z) (* t i)))

rewrite23.0ms

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

series232.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* y z) (* t a))
65.0ms
(* j (- (* c a) (* y i)))
67.0ms
(* x (- (* y z) (* t a)))
65.0ms
(* b (- (* c z) (* t i)))

simplify57.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0423552
11763485
25002485

prune395.0ms

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: 8.5b

Counts
97 → 22

localize29.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
2.1b
(* (cbrt j) (- (* c a) (* y i)))
5.1b
(* x (- (* y z) (* t a)))
6.1b
(* b (- (* c z) (* t i)))

rewrite36.0ms

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:
12.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
7.0ms
(* (cbrt j) (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
7.0ms
(* b (- (* c z) (* t i)))

series493.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
263.0ms
(* (cbrt j) (- (* c a) (* y i)))
66.0ms
(* x (- (* y z) (* t a)))
68.0ms
(* b (- (* c z) (* t i)))

simplify81.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0574966
12600762
25003699

prune472.0ms

Filtered
120 candidates to 74 candidates (61.7%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1155120
Fresh21921
Picked101
Done000
Total11824142

Merged error: 7.8b

Counts
142 → 24

localize24.0ms

Local error

Found 4 expressions with local error:

4.6b
(cbrt (- (* c a) (* y i)))
4.6b
(cbrt (- (* c a) (* y i)))
5.1b
(* x (- (* y z) (* t a)))
6.1b
(* b (- (* c z) (* t i)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×pow1 add-exp-log add-cbrt-cube
6×cbrt-prod associate-*r* associate-*l*
4×distribute-rgt-in sub-neg cbrt-div flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt (- (* c a) (* y i)))
4.0ms
(cbrt (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* t i)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (- (* c a) (* y i)))
107.0ms
(cbrt (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))
64.0ms
(* b (- (* c z) (* t i)))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0438604
11594546
25001534

prune416.0ms

Filtered
86 candidates to 64 candidates (74.4%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New82486
Fresh22123
Picked101
Done000
Total8525110

Merged error: 7.7b

Counts
110 → 25

localize24.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.4b
(* (cbrt b) (- (* c z) (* t i)))
3.5b
(* j (- (* c a) (* y i)))
5.1b
(* x (- (* y z) (* t a)))

rewrite36.0ms

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:
12.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
9.0ms
(* (cbrt b) (- (* c z) (* t i)))
6.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
250.0ms
(* (cbrt b) (- (* c z) (* t i)))
63.0ms
(* j (- (* c a) (* y i)))
61.0ms
(* x (- (* y z) (* t a)))

simplify79.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0575966
12594762
25002699

prune372.0ms

Filtered
120 candidates to 75 candidates (62.5%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh12324
Picked101
Done000
Total11827145

Merged error: 5.2b

Counts
145 → 27

regimes1.4s

Accuracy

23.6% (4.8b remaining)

Error of 11.1b against oracle of 6.3b and baseline of 12.6b

bsearch221.0ms

Steps
ItersRangePoint
9
1.6893471065544812e-53
4.5863234792100203e-48
3.2836024432427105e-49
8
-1.3119761104867792e-100
-6.509768497150211e-105
-7.862332643697122e-104

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06732
17532
28832
38832

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19042×body80valid

Profiling

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