Details

Time bar (total: 7.6s)

sample111.0ms

Algorithm
intervals
Results
50.0ms610×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune7.0ms

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: 10.7b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c a) (* y i))
4.7b
(* j (- (* c a) (* y i)))
5.0b
(* b (- (* c z) (* t i)))
5.4b
(* 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:
3.0ms
(- (* c a) (* y i))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* b (- (* c z) (* t i)))
6.0ms
(* x (- (* y z) (* t a)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* c a) (* y i))
21.0ms
(* j (- (* c a) (* y i)))
18.0ms
(* b (- (* c z) (* t i)))
18.0ms
(* x (- (* y z) (* t a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0423552
11763485
25002485

prune251.0ms

Filtered
96 candidates to 63 candidates (34.4%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New742296
Fresh000
Picked101
Done000
Total752297

Merged error: 6.8b

Counts
97 → 22

localize28.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.0b
(* (cbrt b) (- (* c z) (* t i)))
4.7b
(* j (- (* c a) (* y i)))
5.4b
(* x (- (* y z) (* t a)))

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:
12.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
6.0ms
(* (cbrt b) (- (* c z) (* t i)))
5.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* x (- (* y z) (* t a)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
67.0ms
(* (cbrt b) (- (* c z) (* t i)))
17.0ms
(* j (- (* c a) (* y i)))
18.0ms
(* x (- (* y z) (* t a)))

simplify67.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0590987
12488780
25002717

prune248.0ms

Filtered
120 candidates to 71 candidates (40.8%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New1173120
Fresh02121
Picked101
Done000
Total11824142

Merged error: 6.1b

Counts
142 → 24

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b
(* z (* b c))
4.7b
(* j (- (* c a) (* y i)))
4.7b
(* (neg b) (* t i))
5.4b
(* x (- (* y z) (* t a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*l*
18×pow1 add-exp-log add-cbrt-cube
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 92
Calls
4 calls:
5.0ms
(* z (* b c))
5.0ms
(* j (- (* c a) (* y i)))
5.0ms
(* (neg b) (* t i))
6.0ms
(* x (- (* y z) (* t a)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (* b c))
17.0ms
(* j (- (* c a) (* y i)))
8.0ms
(* (neg b) (* t i))
18.0ms
(* x (- (* y z) (* t a)))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0485497
12036427
25001427

prune276.0ms

Filtered
104 candidates to 68 candidates (34.6%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh32023
Picked101
Done000
Total10127128

Merged error: 4.9b

Counts
128 → 27

localize29.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (* b c)))
4.7b
(* j (- (* c a) (* y i)))
4.7b
(* (neg b) (* t i))
5.4b
(* x (- (* y z) (* t a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
24×add-cbrt-cube
20×pow-prod-down prod-exp cbrt-unprod
17×associate-*l*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×flip3-- flip-- unswap-sqr
1×distribute-lft-neg-out neg-mul-1
Counts
4 → 102
Calls
4 calls:
12.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (* b c)))
6.0ms
(* j (- (* c a) (* y i)))
5.0ms
(* (neg b) (* t i))
6.0ms
(* x (- (* y z) (* t a)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (* b c)))
22.0ms
(* j (- (* c a) (* y i)))
6.0ms
(* (neg b) (* t i))
18.0ms
(* x (- (* y z) (* t a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0562700
12438545
25001510

prune89.0ms

Filtered
114 candidates to 68 candidates (40.4%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1131114
Fresh02626
Picked101
Done000
Total11427141

Merged error: 4.9b

Counts
141 → 27

regimes2.5s

Accuracy

25.4% (5.1b remaining)

Error of 11.1b against oracle of 6.0b and baseline of 12.8b

bsearch168.0ms

Steps
ItersRangePoint
8
3.058513405429246e+132
4.244032751822024e+135
3.116087990383482e+132
8
-5.804326055606342e+109
-5.731368272321261e+106
-2.7625836999272728e+107

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06453
17753
28153
38153

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.4s18649×body80valid

Profiling

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