Details

Time bar (total: 6.1s)

sample69.0ms

Algorithm
intervals
Results
47.0ms285×body80valid

simplify58.0ms

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: 30.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.0b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite143.0ms

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:
34.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
50.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
45.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series752.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
62.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
172.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
455.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify79.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune668.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 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:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
6.0ms
(* 1.6453555072203998 (* y b))

series55.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* 1.6453555072203998 (* y b)))
21.0ms
(* 1.6453555072203998 (* y b))

simplify76.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune100.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
5×add-log-exp
2×associate-*r* *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 56
Calls
3 calls:
3.0ms
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
22.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
8.0ms
(* (sqrt 1.6453555072203998) (* y b))

series216.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ x (* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b))))
74.0ms
(* (sqrt 1.6453555072203998) (* (sqrt 1.6453555072203998) (* y b)))
44.0ms
(* (sqrt 1.6453555072203998) (* y b))

simplify39.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0222357
1944282
25001282

prune172.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt 1.6453555072203998) (* y b))
0.3b
(* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* (sqrt 1.6453555072203998) (* y b))))
0.4b
(* (cbrt (sqrt 1.6453555072203998)) (* (sqrt 1.6453555072203998) (* y b)))
1.0b
(* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1
52×add-exp-log
46×cbrt-prod
43×add-sqr-sqrt
35×pow-prod-down
34×prod-exp cbrt-unprod
33×add-cbrt-cube
26×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×swap-sqr
9×unswap-sqr
6×pow1/3
4×*-commutative add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 138
Calls
4 calls:
8.0ms
(* (sqrt 1.6453555072203998) (* y b))
68.0ms
(* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* (sqrt 1.6453555072203998) (* y b))))
21.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* (sqrt 1.6453555072203998) (* y b)))
9.0ms
(* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998)))

series388.0ms

Counts
4 → 10
Calls
4 calls:
42.0ms
(* (sqrt 1.6453555072203998) (* y b))
82.0ms
(* (* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998))) (* (cbrt (sqrt 1.6453555072203998)) (* (sqrt 1.6453555072203998) (* y b))))
263.0ms
(* (cbrt (sqrt 1.6453555072203998)) (* (sqrt 1.6453555072203998) (* y b)))
0.0ms
(* (cbrt (sqrt 1.6453555072203998)) (cbrt (sqrt 1.6453555072203998)))

simplify73.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
03521259
11647996
25002874

prune282.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.7b

regimes747.0ms

Accuracy

94.5% (1.3b remaining)

Error of 4.5b against oracle of 3.2b and baseline of 26.8b

bsearch311.0ms

Steps
ItersRangePoint
10
1.1178430778396202e+52
1.0236211810634938e+67
1.6003447527747322e+61
8
-4.961655599311028e+54
-9.08498923922713e+51
-1.82773053729933e+53

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.4s8883×body80valid