Details

Time bar (total: 18.1s)

sample5.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0.438596%

Space saved by search: 0.438596%

Guaranteed chance to sample good point: 0%

Results
26.0ms334×body80invalid
20.0ms256×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.2b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* i a))
4.4b
(* j (- (* c t) (* i y)))
4.4b
(* x (- (* y z) (* t a)))
5.9b
(* b (- (* c z) (* i 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) (* i a))
6.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c z) (* i a))
19.0ms
(* j (- (* c t) (* i y)))
21.0ms
(* x (- (* y z) (* t a)))
19.0ms
(* b (- (* c z) (* i a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune240.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New771996
Fresh000
Picked101
Done000
Total781997

Merged error: 7.9b

Counts
97 → 19

localize25.0ms

Local error

Found 4 expressions with local error:

5.8b
(cbrt (- (* y z) (* t a)))
5.8b
(cbrt (- (* y z) (* t a)))
5.8b
(cbrt (- (* y z) (* t a)))
5.9b
(* b (- (* c z) (* i a)))

rewrite19.0ms

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:
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
5.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (- (* y z) (* t a)))
40.0ms
(cbrt (- (* y z) (* t a)))
37.0ms
(cbrt (- (* y z) (* t a)))
19.0ms
(* b (- (* c z) (* i a)))

simplify101.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0310602
11070555
23841543
35001534

prune215.0ms

Filtered
59 candidates to 75 candidates (-27.1%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh01818
Picked101
Done000
Total751994

Merged error: 7.9b

Counts
94 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (cbrt x) (- (* y z) (* t a)))
2.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.4b
(* j (- (* c t) (* i y)))
5.9b
(* b (- (* c z) (* i a)))

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

series134.0ms

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))))
23.0ms
(* j (- (* c t) (* i y)))
19.0ms
(* b (- (* c z) (* i a)))

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0591987
12488780
25003717

prune241.0ms

Filtered
71 candidates to 120 candidates (-69.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh11718
Picked101
Done000
Total11821139

Merged error: 7.6b

Counts
139 → 21

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (* b (- (* c z) (* i a))))
5.9b
(* b (- (* c z) (* i a)))
5.9b
(* b (- (* c z) (* i a)))
5.9b
(* b (- (* c z) (* i a)))

rewrite24.0ms

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*
8×associate-*r/
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
4.0ms
(cbrt (* b (- (* c z) (* i a))))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* b (- (* c z) (* i a)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (* b (- (* c z) (* i a))))
19.0ms
(* b (- (* c z) (* i a)))
21.0ms
(* b (- (* c z) (* i a)))
19.0ms
(* b (- (* c z) (* i a)))

simplify95.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0253606
1926535
23675532
35001528

prune98.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New92395
Fresh11920
Picked101
Done000
Total9422116

Merged error: 7.6b

Counts
116 → 22

regimes2.2s

Accuracy

0% (4.4b remaining)

Error of 12.9b against oracle of 8.5b and baseline of 12.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04438
14438

end0.0ms

sample8.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0.438596%

Space saved by search: 0.438596%

Guaranteed chance to sample good point: 0%

Results
922.0ms10906×body80invalid
709.0ms8000×body80valid

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