Details

Time bar (total: 7.6s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14

sample43.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
3.0ms33×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0491437
1491437

prune20.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.9b

Counts
2 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.2b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
25.2b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite80.0ms

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-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
13.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
8.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
28.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
28.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series209.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
141.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
50.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify60.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049543425
149543425

prune322.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1129121
Fresh101
Picked101
Done000
Total1149123

Merged error: 0.7b

Counts
123 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
0.0b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
1.9b
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
2.2b
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
35×add-sqr-sqrt
26×add-cube-cbrt
25×times-frac
24×associate-*r*
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
7×distribute-lft-out
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod associate-/l* add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 116
Calls
4 calls:
14.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
10.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
16.0ms
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
20.0ms
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))

series116.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721))
4.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
39.0ms
(/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
68.0ms
(* y (/ (+ 0 b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049122442
149122442

prune234.0ms

Filtered
94 candidates to 128 candidates (-36.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1271128
Fresh088
Picked101
Done000
Total1289137

Merged error: 0.7b

Counts
137 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b
(/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
0.2b
(* y (/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))))
25.1b
(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite108.0ms

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
3×associate-*r/
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in un-div-inv inv-pow
Counts
4 → 216
Calls
4 calls:
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
26.0ms
(/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
37.0ms
(* y (/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))))
27.0ms
(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

series249.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
53.0ms
(/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b)))
139.0ms
(* y (/ 1 (/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))))
51.0ms
(/ (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b))

simplify123.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
049799240
149799240

prune713.0ms

Filtered
154 candidates to 228 candidates (-48.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2271228
Fresh268
Picked011
Done000
Total2298237

Merged error: 0.7b

Counts
237 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

15.1b
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
15.1b
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
15.1b
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
21.7b
(* (/ 1 (* (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))) (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
12.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
12.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
12.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
66.0ms
(* (/ 1 (* (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))) (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
10.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
10.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
52.0ms
(* (/ 1 (* (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))) (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))

simplify62.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
055236319

prune592.0ms

Filtered
100 candidates to 131 candidates (-31.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh066
Picked011
Done011
Total1318139

Merged error: 0.7b

Counts
139 → 8

regimes841.0ms

Accuracy

96.9% (0.8b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 27.5b

bsearch69.0ms

Steps
ItersRangePoint
10
5.750856458772862e+43
1.7828116461359828e+56
4.2946374300018866e+46
9
-1.3923059742478983e+25
-1.1332550757630576e+20
-6.608558311677134e+24

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08663
18663

end0.0ms

sample1.1s

Algorithm
intervals
Results
728.0ms8000×body80valid
77.0ms824×body80invalid

Profiling

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