Details

Time bar (total: 6.6s)

sample46.0ms

Algorithm
intervals
Results
23.0ms290×body80valid

simplify54.0ms

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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.2b
(/ (* 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:
10.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series711.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
68.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
166.0ms
(* 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))

simplify81.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05761201
127971026
250011026

prune461.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh000
Picked101
Done000
Total919100

Merged error: 3.8b

Counts
100 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.3b
(* 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:
3.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series58.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* 1.6453555072203998 (* y b)))
24.0ms
(* 1.6453555072203998 (* y b))

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune104.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New31435
Fresh178
Picked101
Done000
Total331144

Merged error: 3.8b

Counts
44 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
27.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite76.0ms

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:
10.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
24.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
30.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series858.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
60.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
450.0ms
(/ 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))

simplify105.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07323514
133843308
250013307

prune803.0ms

Filtered
161 candidates to 126 candidates (78.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1583161
Fresh2810
Picked101
Done000
Total16111172

Merged error: 3.8b

Counts
172 → 11

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 3.13060547623) 11.1667541262)
0.3b
(* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z)
21.8b
(/ (* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z) (+ (* (* z 3.13060547623) (* z 3.13060547623)) (- (* 11.1667541262 11.1667541262) (* (* z 3.13060547623) 11.1667541262))))
27.3b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (/ (* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z) (+ (* (* z 3.13060547623) (* z 3.13060547623)) (- (* 11.1667541262 11.1667541262) (* (* z 3.13060547623) 11.1667541262)))) t) z) a) z) b))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×add-exp-log add-cbrt-cube
17×add-cube-cbrt
12×times-frac
11×pow1
6×associate-*r* associate-*l* associate-/r*
5×flip3-+ prod-exp cbrt-unprod flip-+
4×pow-prod-down associate-*l/ associate-/r/ associate-/l/ associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg clear-num *-commutative div-inv
1×sum-cubes distribute-lft-out unswap-sqr
Counts
4 → 96
Calls
4 calls:
5.0ms
(* (* z 3.13060547623) 11.1667541262)
12.0ms
(* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z)
22.0ms
(/ (* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z) (+ (* (* z 3.13060547623) (* z 3.13060547623)) (- (* 11.1667541262 11.1667541262) (* (* z 3.13060547623) 11.1667541262))))
38.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (/ (* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z) (+ (* (* z 3.13060547623) (* z 3.13060547623)) (- (* 11.1667541262 11.1667541262) (* (* z 3.13060547623) 11.1667541262)))) t) z) a) z) b))

series438.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* z 3.13060547623) 11.1667541262)
122.0ms
(* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z)
98.0ms
(/ (* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z) (+ (* (* z 3.13060547623) (* z 3.13060547623)) (- (* 11.1667541262 11.1667541262) (* (* z 3.13060547623) 11.1667541262))))
204.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (/ (* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z) (+ (* (* z 3.13060547623) (* z 3.13060547623)) (- (* 11.1667541262 11.1667541262) (* (* z 3.13060547623) 11.1667541262)))) t) z) a) z) b))

simplify103.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06012044
130331810
250021802

prune623.0ms

Filtered
108 candidates to 78 candidates (72.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1080108
Fresh01010
Picked011
Done000
Total10811119

Merged error: 3.8b

Counts
119 → 11

regimes613.0ms

Accuracy

95.1% (1.2b remaining)

Error of 4.2b against oracle of 3.0b and baseline of 28.3b

bsearch225.0ms

Steps
ItersRangePoint
9
8.436446852564666e+52
1.2396573486053682e+62
4.026021436349368e+53
4
-2.8310095317132058e+51
-1.6176003452028358e+51
-2.5655762721640628e+51

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08238
18238

end0.0ms

sample965.0ms

Algorithm
intervals
Results
640.0ms8846×body80valid