Details

Time bar (total: 3.7s)

sample25.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0238
1358
2608
31038
41838
54168
611948
750018

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: 7.8b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
0.0b
(- (* t z) x)
11.5b
(/ (- (* y z) x) (- (* t z) x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
11.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
22.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
6.0ms
(- (* t z) x)
15.0ms
(/ (- (* y z) x) (- (* t z) x))

series283.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
118.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
28.0ms
(- (* t z) x)
54.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03971011
11388948
25002947

prune300.0ms

Filtered
110 candidates to 80 candidates (72.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1019110
Fresh000
Picked101
Done000
Total1029111

Merged error: 0.2b

Counts
111 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.0b
(- (* t z) x)
0.4b
(/ 1 (- (* t z) x))
11.2b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-- div-exp flip--
4×prod-exp distribute-lft-out
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num cbrt-unprod flip-+ associate-/l/
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 122
Calls
4 calls:
7.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
4.0ms
(- (* t z) x)
6.0ms
(/ 1 (- (* t z) x))
13.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
23.0ms
(- (* t z) x)
23.0ms
(/ 1 (- (* t z) x))
59.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04681136
121091015
25003984

prune256.0ms

Filtered
134 candidates to 86 candidates (64.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh178
Picked011
Done000
Total1349143

Merged error: 0.2b

Counts
143 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (* (cbrt (- (* y z) x)) (cbrt (- (* y z) x))) (/ (cbrt (- (* y z) x)) (- (* t z) x)))
7.0b
(cbrt (- (* y z) x))
7.0b
(cbrt (- (* y z) x))
7.0b
(cbrt (- (* y z) x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
24.0ms
(* (* (cbrt (- (* y z) x)) (cbrt (- (* y z) x))) (/ (cbrt (- (* y z) x)) (- (* t z) x)))
4.0ms
(cbrt (- (* y z) x))
4.0ms
(cbrt (- (* y z) x))
4.0ms
(cbrt (- (* y z) x))

series425.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (* (cbrt (- (* y z) x)) (cbrt (- (* y z) x))) (/ (cbrt (- (* y z) x)) (- (* t z) x)))
122.0ms
(cbrt (- (* y z) x))
124.0ms
(cbrt (- (* y z) x))
121.0ms
(cbrt (- (* y z) x))

simplify69.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05371531
120371378
250021310

prune363.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh077
Picked011
Done011
Total1149123

Merged error: 0.2b

Counts
123 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y t))
2.2b
(/ (+ x (/ y t)) (+ x 1.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube associate-/l* add-log-exp
3×flip3-+ flip-+
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 52
Calls
2 calls:
6.0ms
(+ x (/ y t))
10.0ms
(/ (+ x (/ y t)) (+ x 1.0))

series58.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ x (/ y t))
41.0ms
(/ (+ x (/ y t)) (+ x 1.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0227373
1693348
22217348
35002348

prune293.0ms

Filtered
58 candidates to 38 candidates (65.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New57158
Fresh066
Picked011
Done022
Total571067

Merged error: 0.2b

Counts
67 → 10

regimes194.0ms

Accuracy

57.2% (2.8b remaining)

Error of 3.6b against oracle of 0.8b and baseline of 7.4b

bsearch94.0ms

Steps
ItersRangePoint
9
3.2724759399784516e+32
9.96368428108743e+41
4.202368641947582e+39
7
-5.610136769898674e+156
-1.1207518021850012e+155
-1.237852175434716e+155

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513
13513

end0.0ms

sample658.0ms

Algorithm
intervals
Results
438.0ms8297×body80valid

Profiling

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