Details

Time bar (total: 7.6s)

sample83.0ms

Algorithm
intervals
Results
60.0ms288×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

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)
1.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.7b
(/ (* 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:
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
35.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
50.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
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))

series748.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
59.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
169.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
452.0ms
(/ (* 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 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune457.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

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))

series59.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* 1.6453555072203998 (* y b)))
24.0ms
(* 1.6453555072203998 (* y b))

simplify71.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune101.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

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)
0.2b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
24.9b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log add-cbrt-cube
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 149
Calls
4 calls:
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
35.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
45.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
53.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series721.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
63.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
461.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
128.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify106.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07373553
134413347
250013346

prune825.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.0b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
2.0b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))
2.4b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
100×*-un-lft-identity
72×add-sqr-sqrt
68×add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
15×add-exp-log add-cbrt-cube
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
2×frac-2neg pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 165
Calls
4 calls:
30.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
23.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
22.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))
33.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))

series301.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
39.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
143.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))
73.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))

simplify112.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07842577
137012417
250012413

prune579.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

regimes496.0ms

Accuracy

91.6% (1.6b remaining)

Error of 5.0b against oracle of 3.3b and baseline of 23.0b

bsearch260.0ms

Steps
ItersRangePoint
6
1.526380370828111e+34
1.5522832620851079e+35
1.0008220399133623e+35
8
-6.1256699411586695e+69
-1.1003374577333433e+66
-1.1208553628708948e+66

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07227
17227

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s8870×body80valid