Details

Time bar (total: 11.3s)

sample121.0ms

Algorithm
intervals
Results
53.0ms651×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune8.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* t i))
4.6b
(* b (- (* c z) (* t i)))
4.9b
(* j (- (* c a) (* y i)))
5.6b
(* 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:
4.0ms
(- (* c z) (* t i))
5.0ms
(* b (- (* c z) (* t i)))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* c z) (* t i))
65.0ms
(* b (- (* c z) (* t i)))
61.0ms
(* j (- (* c a) (* y i)))
67.0ms
(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0422552
11762485
25001485

prune750.0ms

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: 8.1b

Counts
97 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (cbrt x) (- (* y z) (* t a)))
3.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.6b
(* b (- (* c z) (* t i)))
4.9b
(* j (- (* c a) (* y i)))

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

series480.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt x) (- (* y z) (* t a)))
96.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
64.0ms
(* b (- (* c z) (* t i)))
67.0ms
(* j (- (* c a) (* y i)))

simplify73.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0569968
12526762
25003699

prune832.0ms

Filtered
120 candidates to 71 candidates (59.2%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh12021
Picked101
Done000
Total12022142

Merged error: 8.1b

Counts
142 → 22

localize24.0ms

Local error

Found 4 expressions with local error:

4.9b
(* j (- (* c a) (* y i)))
7.0b
(cbrt (- (* y z) (* t a)))
7.0b
(cbrt (- (* y z) (* t a)))
7.0b
(cbrt (- (* y z) (* t a)))

rewrite17.0ms

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
(* j (- (* c a) (* y i)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* j (- (* c a) (* y i)))
112.0ms
(cbrt (- (* y z) (* t a)))
118.0ms
(cbrt (- (* y z) (* t a)))
113.0ms
(cbrt (- (* y z) (* t a)))

simplify98.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0312590
11056543
23795525
35002516

prune773.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New74175
Fresh02121
Picked101
Done000
Total752297

Merged error: 8.1b

Counts
97 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

5.5b
(cbrt (- (* c a) (* y i)))
5.5b
(cbrt (- (* c a) (* y i)))
5.5b
(cbrt (- (* c a) (* y i)))
5.6b
(* x (- (* y z) (* t 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 (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c a) (* y i)))
3.0ms
(cbrt (- (* c a) (* y i)))
8.0ms
(* x (- (* y z) (* t a)))

series399.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (- (* c a) (* y i)))
110.0ms
(cbrt (- (* c a) (* y i)))
118.0ms
(cbrt (- (* c a) (* y i)))
62.0ms
(* x (- (* y z) (* t a)))

simplify101.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0315590
11061543
23794525
35001516

prune619.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New71475
Fresh02121
Picked101
Done000
Total722597

Merged error: 8.0b

Counts
97 → 25

regimes2.8s

Accuracy

-7% (4.3b remaining)

Error of 12.8b against oracle of 8.5b and baseline of 12.5b

bsearch164.0ms

Steps
ItersRangePoint
9
8.362784775889162e-307
6.97083800000092e-298
6.860156468974752e-298
3
-7.09663032395966e-137
-4.961477081889731e-137
-5.094924159519103e-137

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06166
16166

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.4s18766×body80valid

Profiling

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