Details

Time bar (total: 6.9s)

sample61.0ms

Algorithm
intervals
Results
27.0ms280×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune7.0ms

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: 31.5b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
14.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series699.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
164.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
434.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify76.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05871179
12851995
25002995

prune658.0ms

Filtered
99 candidates to 70 candidates (70.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New90999
Fresh000
Picked011
Done000
Total9010100

Merged error: 2.7b

Counts
100 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.3b
(* 1.6453555072203998 (* y b))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

series54.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* 1.6453555072203998 (* y b)))
19.0ms
(* 1.6453555072203998 (* y b))

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune202.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New31435
Fresh178
Picked101
Done101
Total341145

Merged error: 2.7b

Counts
45 → 11

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* 1.6453555072203998 y) b))
0.2b
(* (* 1.6453555072203998 y) b)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* (* 1.6453555072203998 y) b))
5.0ms
(* (* 1.6453555072203998 y) b)

series58.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (* (* 1.6453555072203998 y) b))
19.0ms
(* (* 1.6453555072203998 y) b)

simplify110.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0163140
1771123
23811123
35002123

prune197.0ms

Filtered
35 candidates to 23 candidates (65.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh01010
Picked011
Done000
Total341246

Merged error: 2.7b

Counts
46 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series1.0s

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt b) (cbrt b))
471.0ms
(cbrt b)
176.0ms
(cbrt b)
173.0ms
(cbrt b)

simplify93.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune408.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh01010
Picked101
Done011
Total841397

Merged error: 2.7b

Counts
97 → 13

regimes1.4s

Accuracy

93.9% (1.4b remaining)

Error of 4.3b against oracle of 2.9b and baseline of 25.5b

bsearch309.0ms

Steps
ItersRangePoint
9
6.995440208219132e+28
5.218921181686832e+36
4.6393286200036765e+32
9
-7.906224338871338e+58
-6.318292549347096e+52
-2.6499834635834006e+57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample1.3s

Algorithm
intervals
Results
733.0ms8882×body80valid

Profiling

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