Details

Time bar (total: 8.1s)

sample41.0ms

Algorithm
intervals
Results
21.0ms281×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize22.0ms

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)
2.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
24.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite151.0ms

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)
36.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
53.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
48.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series778.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
60.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
176.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
474.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune450.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize31.0ms

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)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
23.2b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite156.0ms

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:
12.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
35.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
51.0ms
(/ 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))

series739.0ms

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)
473.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
139.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify110.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07373553
134413347
250013346

prune811.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
1.7b
(/ 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))

rewrite120.0ms

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:
32.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
20.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
27.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))
34.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))

series314.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z)
35.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
156.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b)))
71.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ 0 b))

simplify108.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07842577
137012417
250012413

prune645.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* z 3.13060547623) (* z 3.13060547623))
0.3b
(* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z)
19.9b
(/ (* (+ (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))))
23.2b
(/ (+ (* (+ (* (+ (* (+ 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))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
25×add-exp-log add-cbrt-cube
18×add-sqr-sqrt *-un-lft-identity pow-prod-down
16×add-cube-cbrt
12×times-frac
10×prod-exp cbrt-unprod
6×associate-*l* associate-/r*
5×flip3-+ flip-+
4×associate-*r* associate-*l/ associate-/r/ pow-sqr pow-prod-up associate-/l/ associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg pow-plus clear-num *-commutative div-inv
1×pow2 swap-sqr sum-cubes distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
10.0ms
(* (* z 3.13060547623) (* z 3.13060547623))
40.0ms
(* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z)
42.0ms
(/ (* (+ (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))))
180.0ms
(/ (+ (* (+ (* (+ (* (+ 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))

series489.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* z 3.13060547623) (* z 3.13060547623))
125.0ms
(* (+ (pow (* z 3.13060547623) 3) (pow 11.1667541262 3)) z)
104.0ms
(/ (* (+ (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))))
226.0ms
(/ (+ (* (+ (* (+ (* (+ 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))

simplify102.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06022069
129381826
250011818

prune652.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.2b

regimes695.0ms

Accuracy

93.6% (1.2b remaining)

Error of 4.3b against oracle of 3.1b and baseline of 22.3b

bsearch363.0ms

Steps
ItersRangePoint
11
2.9143515929849955e+32
1.036524131313658e+53
5.2812053084356365e+38
11
-1.058039582006875e+60
-1.8545934194377622e+36
-2.436866472028384e+58

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08238
18238

end0.0ms

sample882.0ms

Algorithm
intervals
Results
569.0ms8879×body80valid