Details

Time bar (total: 9.1s)

sample44.0ms

Algorithm
intervals
Results
22.0ms282×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize24.0ms

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)
2.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite133.0ms

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)
21.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
52.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
47.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series724.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
39.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
163.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
458.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify76.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05761201
127971026
250011026

prune446.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

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)
0.2b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
25.6b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite175.0ms

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:
11.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
21.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
86.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
53.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series774.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
36.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
458.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
215.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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
117 → 117
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05861865
126291663
250031663

prune487.0ms

Filtered
117 candidates to 83 candidates (70.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.2b
(* y (/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
25.6b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
112×add-sqr-sqrt
98×*-un-lft-identity
96×add-cube-cbrt
53×associate-*r*
38×add-exp-log
22×add-cbrt-cube
18×associate-/r* associate-/r/
15×div-exp
10×flip3-+ flip-+ div-inv
9×pow1
8×prod-exp
7×cbrt-undiv
6×associate-*l* associate-/l* unswap-sqr
4×rec-exp 1-exp cbrt-unprod add-log-exp
2×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
1×pow-flip associate-*r/ un-div-inv inv-pow
Counts
4 → 214
Calls
4 calls:
23.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
108.0ms
(* y (/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
47.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ 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))

series836.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
458.0ms
(* y (/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
212.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
129.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify133.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08875247
144824804
250014663

prune889.0ms

Filtered
226 candidates to 144 candidates (63.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (/ 1 (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))))
0.2b
(/ 1 (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
0.5b
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.5b
(* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
44×prod-exp
36×div-exp
34×add-sqr-sqrt add-cbrt-cube
28×associate-*r*
26×*-un-lft-identity times-frac
25×add-cube-cbrt
18×rec-exp 1-exp
16×associate-/r/
12×pow1
10×cbrt-undiv cbrt-unprod
8×flip3-+ flip-+
6×frac-times associate-*l* associate-*l/ associate-/l*
4×associate-*r/ associate-/r* un-div-inv div-inv add-log-exp unswap-sqr
3×pow-flip pow-prod-down
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 167
Calls
4 calls:
194.0ms
(* y (/ 1 (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))))
74.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
30.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
110.0ms
(* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series872.0ms

Counts
4 → 12
Calls
4 calls:
466.0ms
(* y (/ 1 (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))))
212.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))))
67.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* 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) (/ 1 (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify92.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06813368
132582815
250012770

prune581.0ms

Filtered
179 candidates to 96 candidates (53.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes570.0ms

Accuracy

97.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 27.8b

bsearch263.0ms

Steps
ItersRangePoint
8
6.164442305765328e+42
2.961988255022833e+45
3.8801611036386986e+43
9
-1.1192461234999901e+53
-5.991532222681368e+46
-6.084556142735816e+46

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07326
17326

end0.0ms

sample1.1s

Algorithm
intervals
Results
785.0ms8877×body80valid