Details

Time bar (total: 7.0s)

sample90.0ms

Algorithm
intervals
Results
52.0ms668×body80valid

simplify84.0ms

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: 11.7b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* c z) (* i a))
5.1b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c t) (* i y)))
6.0b
(* b (- (* c z) (* i a)))

rewrite24.0ms

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

series232.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* c z) (* i a))
67.0ms
(* x (- (* y z) (* t a)))
64.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0425552
11771485
25002485

prune363.0ms

Filtered
96 candidates to 63 candidates (65.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New762096
Fresh000
Picked101
Done000
Total772097

Merged error: 8.0b

Counts
97 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

4.9b
(* b (* c z))
5.1b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c t) (* i y)))
6.6b
(* b (neg (* i a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
5.0ms
(* b (* c z))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c t) (* i y)))
5.0ms
(* b (neg (* i a)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* b (* c z))
65.0ms
(* x (- (* y z) (* t a)))
66.0ms
(* j (- (* c t) (* i y)))
23.0ms
(* b (neg (* i a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0445484
12066419
25001419

prune376.0ms

Filtered
100 candidates to 67 candidates (67.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh31619
Picked101
Done000
Total10218120

Merged error: 6.1b

Counts
120 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
2.8b
(* (cbrt x) (- (* y z) (* t a)))
5.1b
(* j (- (* c t) (* i y)))
6.0b
(* b (- (* c z) (* i a)))

rewrite34.0ms

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 x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
7.0ms
(* (cbrt x) (- (* y z) (* t a)))
6.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* b (- (* c z) (* i a)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
268.0ms
(* (cbrt x) (- (* y z) (* t a)))
67.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0571968
12535762
25001699

prune439.0ms

Filtered
120 candidates to 71 candidates (59.2%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh01717
Picked101
Done000
Total11919138

Merged error: 6.1b

Counts
138 → 19

localize27.0ms

Local error

Found 4 expressions with local error:

4.9b
(* b (* c z))
5.1b
(* x (- (* y z) (* t a)))
5.1b
(* j (- (* c t) (* i y)))
5.2b
(* a (* i b))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×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
2×flip3-- flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
5.0ms
(* b (* c z))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* j (- (* c t) (* i y)))
5.0ms
(* a (* i b))

series184.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* b (* c z))
67.0ms
(* x (- (* y z) (* t a)))
70.0ms
(* j (- (* c t) (* i y)))
25.0ms
(* a (* i b))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0439454
11796384
25002384

prune273.0ms

Filtered
96 candidates to 58 candidates (60.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New90696
Fresh41418
Picked101
Done000
Total9520115

Merged error: 5.3b

Counts
115 → 20

regimes1.2s

Accuracy

43.6% (3.9b remaining)

Error of 9.6b against oracle of 5.7b and baseline of 12.6b

bsearch270.0ms

Steps
ItersRangePoint
9
137273187.80028528
6216694533768954.0
27068107975.2716
9
-3.2441975844609256e+137
-1.2184640530840641e+132
-1.3576589118738145e+134

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06960
17760
27760

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19315×body80valid

Profiling

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