Details

Time bar (total: 9.6s)

sample114.0ms

Algorithm
intervals
Results
50.0ms601×body80valid

simplify82.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* y z) (* t a))
4.9b
(* b (- (* c z) (* i a)))
5.6b
(* x (- (* y z) (* t a)))
8.2b
(* j (- (* c t) (* i y)))

rewrite25.0ms

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
(- (* y z) (* t a))
6.0ms
(* b (- (* c z) (* i a)))
8.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c t) (* i y)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* y z) (* t a))
18.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* j (- (* c t) (* i y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0425552
11771485
25002485

prune624.0ms

Filtered
96 candidates to 63 candidates (34.4%)
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:

5.6b
(* x (- (* y z) (* t a)))
11.4b
(cbrt (- (* c t) (* i y)))
11.4b
(cbrt (- (* c t) (* i y)))
11.4b
(cbrt (- (* c t) (* i y)))

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

series131.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (- (* y z) (* t a)))
39.0ms
(cbrt (- (* c t) (* i y)))
37.0ms
(cbrt (- (* c t) (* i y)))
37.0ms
(cbrt (- (* c t) (* i y)))

simplify105.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0314602
11079555
23847543
35001534

prune612.0ms

Filtered
75 candidates to 59 candidates (21.3%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New71475
Fresh11718
Picked011
Done000
Total722294

Merged error: 7.9b

Counts
94 → 22

localize30.0ms

Local error

Found 4 expressions with local error:

8.2b
(* j (- (* c t) (* i y)))
8.5b
(cbrt (* j (- (* c t) (* i y))))
8.5b
(cbrt (* j (- (* c t) (* i y))))
8.5b
(cbrt (* j (- (* c t) (* i y))))

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
(* j (- (* c t) (* i y)))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))
4.0ms
(cbrt (* j (- (* c t) (* i y))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* j (- (* c t) (* i y)))
41.0ms
(cbrt (* j (- (* c t) (* i y))))
43.0ms
(cbrt (* j (- (* c t) (* i y))))
41.0ms
(cbrt (* j (- (* c t) (* i y))))

simplify99.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0254554
1935501
23666492
35001483

prune550.0ms

Filtered
69 candidates to 56 candidates (18.8%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New66369
Fresh31720
Picked101
Done011
Total702191

Merged error: 7.9b

Counts
91 → 21

localize38.0ms

Local error

Found 4 expressions with local error:

8.5b
(cbrt (* j (- (* c t) (* i y))))
11.4b
(cbrt (- (* c t) (* i y)))
11.4b
(cbrt (- (* c t) (* i y)))
11.4b
(cbrt (- (* c t) (* i y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
8×cbrt-div
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
2×associate-*r/
Counts
4 → 50
Calls
4 calls:
4.0ms
(cbrt (* j (- (* c t) (* i y))))
3.0ms
(cbrt (- (* c t) (* i y)))
3.0ms
(cbrt (- (* c t) (* i y)))
4.0ms
(cbrt (- (* c t) (* i y)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (* j (- (* c t) (* i y))))
37.0ms
(cbrt (- (* c t) (* i y)))
39.0ms
(cbrt (- (* c t) (* i y)))
37.0ms
(cbrt (- (* c t) (* i y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0254580
1732542
22641527
35001515

prune600.0ms

Filtered
62 candidates to 55 candidates (11.3%)
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh01919
Picked011
Done011
Total622183

Merged error: 7.9b

Counts
83 → 21

regimes2.5s

Accuracy

9.3% (3.7b remaining)

Error of 12.3b against oracle of 8.6b and baseline of 12.6b

bsearch265.0ms

Steps
ItersRangePoint
7
3.246298636171706e-251
1.7620360974476882e-249
4.813659035038301e-250
9
-4.5021505102025926e-195
-1.7449787215314174e-203
-3.5643925390953446e-201

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06365
16965
26965

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s19263×body80valid

Profiling

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