Details

Time bar (total: 5.6s)

sample40.0ms

Algorithm
intervals
Results
19.0ms282×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize30.0ms

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)
3.1b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite140.0ms

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:
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
33.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
53.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
42.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series730.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
59.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
162.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
441.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify80.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05731240
128061065
250011065

prune436.0ms

Filtered
99 candidates to 72 candidates (72.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.8b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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)))
6.0ms
(* 1.6453555072203998 (* y b))

series56.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* 1.6453555072203998 (* y b)))
20.0ms
(* 1.6453555072203998 (* y b))

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune93.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite22.0ms

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:
15.0ms
(* (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))))

series578.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
146.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
145.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
151.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify91.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
02551035
1824970
23359912
35001891

prune307.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.8b

localize16.0ms

Local error

Found 4 expressions with local error:

2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.5b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite7.0ms

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))))

series588.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
144.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
149.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
149.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify54.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0144548
1391512
21462504
35001484

prune268.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.8b

regimes696.0ms

Accuracy

94.6% (1.3b remaining)

Error of 4.3b against oracle of 2.9b and baseline of 27.6b

bsearch283.0ms

Steps
ItersRangePoint
9
4.229015165401502e+47
5.945738275523692e+52
1.3364184409208754e+51
9
-6.3275971871978766e+81
-3.2260429855773384e+75
-3.262942858386337e+75

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07127
17127

end0.0ms

sample956.0ms

Algorithm
intervals
Results
637.0ms8844×body80valid