Details

Time bar (total: 8.1s)

sample93.0ms

Algorithm
intervals
Results
56.0ms637×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 11.1b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* c z) (* i a))
3.8b
(* b (- (* c z) (* i a)))
4.5b
(* x (- (* y z) (* t a)))
4.5b
(* j (- (* c t) (* i y)))

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

series238.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune400.0ms

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: 8.0b

Counts
97 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

4.5b
(* j (- (* c t) (* i y)))
6.1b
(cbrt (- (* y z) (* t a)))
6.1b
(cbrt (- (* y z) (* t a)))
6.1b
(cbrt (- (* y z) (* t a)))

rewrite21.0ms

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 t) (* i y)))
6.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))
3.0ms
(cbrt (- (* y z) (* t a)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* j (- (* c t) (* i y)))
115.0ms
(cbrt (- (* y z) (* t a)))
115.0ms
(cbrt (- (* y z) (* t a)))
118.0ms
(cbrt (- (* y z) (* t a)))

simplify101.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0313590
11064543
23800525
35001516

prune429.0ms

Filtered
75 candidates to 59 candidates (78.7%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New73275
Fresh02121
Picked101
Done000
Total742397

Merged error: 8.0b

Counts
97 → 23

localize26.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (cbrt x) (- (* y z) (* t a)))
2.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.8b
(* b (- (* c z) (* i a)))
4.5b
(* j (- (* c t) (* i y)))

rewrite37.0ms

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

series499.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (cbrt x) (- (* y z) (* t a)))
99.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
63.0ms
(* b (- (* c z) (* i a)))
69.0ms
(* j (- (* c t) (* i y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0571968
12533762
25003699

prune454.0ms

Filtered
120 candidates to 71 candidates (59.2%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh12122
Picked011
Done000
Total11924143

Merged error: 8.0b

Counts
143 → 24

localize30.0ms

Local error

Found 4 expressions with local error:

4.5b
(* j (- (* c t) (* i y)))
4.9b
(cbrt (* b (- (* c z) (* i a))))
4.9b
(cbrt (* b (- (* c z) (* i a))))
4.9b
(cbrt (* b (- (* c z) (* i a))))

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)))
5.0ms
(cbrt (* b (- (* c z) (* i a))))
4.0ms
(cbrt (* b (- (* c z) (* i a))))
5.0ms
(cbrt (* b (- (* c z) (* i a))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* j (- (* c t) (* i y)))
134.0ms
(cbrt (* b (- (* c z) (* i a))))
139.0ms
(cbrt (* b (- (* c z) (* i a))))
135.0ms
(cbrt (* b (- (* c z) (* i a))))

simplify107.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0313542
11105489
24138480
35002477

prune324.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh12122
Picked101
Done011
Total702393

Merged error: 8.0b

Counts
93 → 23

regimes1.2s

Accuracy

7.3% (3.4b remaining)

Error of 11.3b against oracle of 7.9b and baseline of 11.6b

bsearch192.0ms

Steps
ItersRangePoint
6
1.3539062924589564e-214
1.4199562077884689e-213
3.90025570506306e-214
9
-4.0305956716779734e-237
-1.2076472411960292e-243
-1.1566399902352899e-240

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06357
16557
26557

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.9s19107×body80valid

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