Details

Time bar (total: 4.3s)

sample51.0ms

Algorithm
intervals
Results
29.0ms287×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

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: 27.2b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.7b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite64.0ms

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:
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
16.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series210.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
11.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
50.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
142.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune212.0ms

Filtered
99 candidates to 72 candidates (27.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New93699
Fresh000
Picked101
Done000
Total946100

Merged error: 2.9b

Counts
100 → 6

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-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

series12.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune77.0ms

Filtered
35 candidates to 22 candidates (37.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh145
Picked011
Done000
Total32941

Merged error: 2.9b

Counts
41 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
34.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
36.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
34.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify102.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
02731057
1888992
23673911
35002887

prune252.0ms

Filtered
99 candidates to 72 candidates (27.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New91899
Fresh167
Picked101
Done011
Total9315108

Merged error: 2.9b

Counts
108 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.7b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
35.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
33.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
34.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify54.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0152564
1411528
21517496
35002476

prune190.0ms

Filtered
64 candidates to 52 candidates (18.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh11213
Picked011
Done011
Total641579

Merged error: 2.9b

Counts
79 → 15

regimes1.1s

Accuracy

93.8% (1.4b remaining)

Error of 4.7b against oracle of 3.4b and baseline of 25.8b

bsearch70.0ms

Steps
ItersRangePoint
7
3.023417096352914e+27
5.048860950851411e+28
3.9825740614288584e+28
10
-4.582246606792262e+59
-2.0558406515103144e+44
-8.883559523309023e+49

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample1.3s

Algorithm
intervals
Results
782.0ms8873×body80valid

Profiling

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