Details

Time bar (total: 7.2s)

sample71.0ms

Algorithm
intervals
Results
48.0ms286×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
1.5b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.3b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite124.0ms

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)
20.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
48.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
43.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series721.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
36.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
173.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
445.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05871179
12851995
25002995

prune443.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

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))

series62.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* 1.6453555072203998 (* y b)))
22.0ms
(* 1.6453555072203998 (* y b))

simplify73.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune96.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
5.6b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
5.6b
(cbrt (+ x (* 1.6453555072203998 (* y b))))
5.6b
(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite21.0ms

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:
14.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
1.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
163.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
153.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))
161.0ms
(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify100.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
02551035
1824970
23359912
35001891

prune332.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
10.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
18.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
80.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series804.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
36.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
471.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
225.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify79.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05971843
126821632
250011632

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes720.0ms

Accuracy

97.8% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 27.6b

bsearch331.0ms

Steps
ItersRangePoint
10
115294715825.94781
3.669906426077846e+24
2.1704049813042748e+24
9
-1.3656020052026265e+56
-3.2313150374189618e+50
-2.2388795725889634e+52

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07326
17326

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.4s8910×body80valid