Details

Time bar (total: 7.7s)

sample84.0ms

Algorithm
intervals
Results
50.0ms620×body80valid

simplify79.0ms

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: 11.6b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* t i))
4.8b
(* j (- (* c a) (* y i)))
5.0b
(* x (- (* y z) (* t a)))
5.6b
(* b (- (* c z) (* t i)))

rewrite21.0ms

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

series227.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* c z) (* t i))
64.0ms
(* j (- (* c a) (* y i)))
64.0ms
(* x (- (* y z) (* t a)))
64.0ms
(* b (- (* c z) (* t i)))

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0422552
11762485
25001485

prune380.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New722496
Fresh000
Picked101
Done000
Total732497

Merged error: 7.3b

Counts
97 → 24

localize27.0ms

Local error

Found 4 expressions with local error:

5.6b
(* b (- (* c z) (* t i)))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* 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:
5.0ms
(* b (- (* c z) (* t i)))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))
5.0ms
(cbrt (* x (- (* y z) (* t a))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* b (- (* c z) (* t i)))
128.0ms
(cbrt (* x (- (* y z) (* t a))))
133.0ms
(cbrt (* x (- (* y z) (* t a))))
127.0ms
(cbrt (* x (- (* y z) (* t a))))

simplify105.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0311542
11096489
24134480
35002477

prune420.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New67269
Fresh12223
Picked011
Done000
Total682593

Merged error: 7.3b

Counts
93 → 25

localize28.0ms

Local error

Found 4 expressions with local error:

5.6b
(* b (- (* c z) (* t i)))
5.8b
(cbrt (- (* y z) (* t a)))
6.4b
(cbrt (* x (- (* y z) (* t a))))
6.4b
(cbrt (* x (- (* y z) (* t a))))

rewrite23.0ms

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:
6.0ms
(* b (- (* c z) (* t i)))
3.0ms
(cbrt (- (* y z) (* t a)))
8.0ms
(cbrt (* x (- (* y z) (* t a))))
4.0ms
(cbrt (* x (- (* y z) (* t a))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* b (- (* c z) (* t i)))
110.0ms
(cbrt (- (* y z) (* t a)))
134.0ms
(cbrt (* x (- (* y z) (* t a))))
131.0ms
(cbrt (* x (- (* y z) (* t a))))

simplify115.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0382558
11275507
24674493
35002493

prune453.0ms

Filtered
71 candidates to 58 candidates (81.7%)
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh02323
Picked011
Done011
Total712596

Merged error: 7.3b

Counts
96 → 25

localize28.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.4b
(* (cbrt x) (- (* y z) (* t a)))
4.8b
(* j (- (* c a) (* y i)))
5.6b
(* b (- (* c z) (* t 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:
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
6.0ms
(* (cbrt x) (- (* y z) (* t a)))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
264.0ms
(* (cbrt x) (- (* y z) (* t a)))
60.0ms
(* j (- (* c a) (* y i)))
66.0ms
(* b (- (* c z) (* t i)))

simplify75.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0569968
12528762
25001699

prune336.0ms

Filtered
120 candidates to 71 candidates (59.2%)
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh02222
Picked101
Done022
Total12025145

Merged error: 7.3b

Counts
145 → 25

regimes1.2s

Accuracy

4.2% (4.0b remaining)

Error of 12.4b against oracle of 8.5b and baseline of 12.6b

bsearch213.0ms

Steps
ItersRangePoint
7
4.214837055963505e-169
7.231910490718706e-168
4.427806717203575e-169
10
-5.1679138125558585e-199
-1.618357931350385e-212
-1.5752070920865285e-208

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05955
15955

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19289×body80valid

Profiling

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