Details

Time bar (total: 7.7s)

sample85.0ms

Algorithm
intervals
Results
50.0ms618×body80valid

simplify76.0ms

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: 10.6b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* t i))
3.3b
(* j (- (* c a) (* y i)))
4.5b
(* b (- (* c z) (* t i)))
6.1b
(* 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 z) (* t i))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (- (* y z) (* t a)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* c z) (* t i))
67.0ms
(* j (- (* c a) (* y i)))
67.0ms
(* b (- (* c z) (* t i)))
67.0ms
(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0422552
11762485
25001485

prune381.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New752196
Fresh000
Picked101
Done000
Total762197

Merged error: 7.9b

Counts
97 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

6.1b
(* x (- (* y z) (* t a)))
8.0b
(cbrt (* j (- (* c a) (* y i))))
8.0b
(cbrt (* j (- (* c a) (* y i))))
8.0b
(cbrt (* j (- (* c a) (* y i))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
6.0ms
(* x (- (* y z) (* t a)))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
4.0ms
(cbrt (* j (- (* c a) (* y i))))
5.0ms
(cbrt (* j (- (* c a) (* y i))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (- (* y z) (* t a)))
136.0ms
(cbrt (* j (- (* c a) (* y i))))
132.0ms
(cbrt (* j (- (* c a) (* y i))))
140.0ms
(cbrt (* j (- (* c a) (* y i))))

simplify102.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0314542
11109489
24149480
35001477

prune550.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New68169
Fresh02020
Picked101
Done000
Total692190

Merged error: 7.9b

Counts
90 → 21

localize27.0ms

Local error

Found 4 expressions with local error:

5.9b
(cbrt (* b (- (* c z) (* t i))))
5.9b
(cbrt (* b (- (* c z) (* t i))))
5.9b
(cbrt (* b (- (* c z) (* t i))))
6.1b
(* x (- (* y z) (* t a)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt associate-*r/
6×pow1 add-exp-log add-cube-cbrt cbrt-div *-un-lft-identity add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
4.0ms
(cbrt (* b (- (* c z) (* t i))))
5.0ms
(cbrt (* b (- (* c z) (* t i))))
4.0ms
(cbrt (* b (- (* c z) (* t i))))
6.0ms
(* x (- (* y z) (* t a)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (* b (- (* c z) (* t i))))
130.0ms
(cbrt (* b (- (* c z) (* t i))))
141.0ms
(cbrt (* b (- (* c z) (* t i))))
67.0ms
(* x (- (* y z) (* t a)))

simplify104.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0314542
11106489
24138480
35001477

prune396.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New66369
Fresh11920
Picked011
Done000
Total672390

Merged error: 7.9b

Counts
90 → 23

localize28.0ms

Local error

Found 4 expressions with local error:

5.9b
(cbrt (* b (- (* c z) (* t i))))
5.9b
(cbrt (* b (- (* c z) (* t i))))
6.1b
(* x (- (* y z) (* t a)))
6.4b
(cbrt (- (* c z) (* t i)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×cbrt-prod
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
5.0ms
(cbrt (* b (- (* c z) (* t i))))
7.0ms
(cbrt (* b (- (* c z) (* t i))))
6.0ms
(* x (- (* y z) (* t a)))
3.0ms
(cbrt (- (* c z) (* t i)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (* b (- (* c z) (* t i))))
129.0ms
(cbrt (* b (- (* c z) (* t i))))
67.0ms
(* x (- (* y z) (* t a)))
112.0ms
(cbrt (- (* c z) (* t i)))

simplify113.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0388558
11287507
24657493
35002493

prune428.0ms

Filtered
71 candidates to 58 candidates (81.7%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh21921
Picked101
Done011
Total722294

Merged error: 7.9b

Counts
94 → 22

regimes1.3s

Accuracy

0% (4.0b remaining)

Error of 12.7b against oracle of 8.8b and baseline of 12.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03727
13727

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19145×body80valid

Profiling

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