Details

Time bar (total: 36.5s)

analyze2.0s (5.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 34 to 27 computations (20.6% saved)

sample37.0ms (0.1%)

Algorithm
intervals
Results
21.0ms256×body128valid
1.0msbody128invalid
Compiler

Compiled 67 to 61 computations (9% saved)

simplify290.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (200.0ms)

IterNodesCost
0483549
1483549

prune9.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 26.3b

Counts
2 → 1
Compiler

Compiled 66 to 52 computations (21.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b
(*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y)
25.8b
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite72.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_1123
18×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
12×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
10×pow1_binary64_1162
times-frac_binary64_1107 associate-*r*_binary64_1041 associate-*l*_binary64_1042
associate-*l/_binary64_1044
flip3-+_binary64_1104 flip-+_binary64_1075
add-log-exp_binary64_1140
*-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 associate-/l*_binary64_1046 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069 associate-/r*_binary64_1045
associate-/l/_binary64_1048 associate-/r/_binary64_1047
frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 div-exp_binary64_1152 cbrt-undiv_binary64_1135
Counts
4 → 91
Calls

4 calls:

27.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
13.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
10.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
10.0ms
(*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y)

series6.7s (18.5%)

Counts
4 → 119
Calls

4 calls:

6.0s
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
350.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
212.0ms
(*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y)
188.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
Compiler

Compiled 19526 to 14154 computations (27.5% saved)

simplify128.0ms (0.4%)

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
0514613450

prune610.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New19416210
Fresh000
Picked011
Done000
Total19417211

Merged error: 13.7b

Counts
211 → 17
Compiler

Compiled 13507 to 5441 computations (59.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
0.1b
(*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b))
0.1b
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
25.7b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))

rewrite91.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_1123
25×*-un-lft-identity_binary64_1101
24×add-cube-cbrt_binary64_1136
21×add-exp-log_binary64_1139 associate-*r*_binary64_1041
20×times-frac_binary64_1107
15×add-cbrt-cube_binary64_1137
11×pow1_binary64_1162
associate-*l*_binary64_1042
prod-exp_binary64_1150 flip3-+_binary64_1104 flip-+_binary64_1075
associate-*r/_binary64_1043 unswap-sqr_binary64_1069
cbrt-unprod_binary64_1134 add-log-exp_binary64_1140 associate-/r/_binary64_1047 div-exp_binary64_1152
*-commutative_binary64_1032 associate-/l*_binary64_1046 pow-prod-down_binary64_1172 associate-/r*_binary64_1045
1-exp_binary64_1145 frac-times_binary64_1111 distribute-lft-in_binary64_1050 div-inv_binary64_1098 rec-exp_binary64_1151 cbrt-undiv_binary64_1135 associate-*l/_binary64_1044 distribute-rgt-in_binary64_1051
inv-pow_binary64_1186 frac-2neg_binary64_1112 clear-num_binary64_1100 pow-flip_binary64_1175 un-div-inv_binary64_1099
Counts
4 → 119
Calls

4 calls:

36.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
15.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
13.0ms
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
10.0ms
(*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b))

series6.9s (18.9%)

Counts
4 → 126
Calls

4 calls:

6.0s
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
376.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
347.0ms
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
218.0ms
(*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b))
Compiler

Compiled 20698 to 15116 computations (27% saved)

simplify150.0ms (0.4%)

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0497015140
1497015140

prune848.0ms (2.3%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2432245
Fresh11415
Picked011
Done011
Total24418262

Merged error: 13.6b

Counts
262 → 18
Compiler

Compiled 15715 to 6345 computations (59.6% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b
(+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c)))))
21.0b
(/.f64 (*.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
23.6b
(/.f64 (*.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
24.7b
(/.f64 (*.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))

rewrite109.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
29×add-exp-log_binary64_1139
24×*-un-lft-identity_binary64_1101
19×add-cbrt-cube_binary64_1137
18×add-log-exp_binary64_1140
12×times-frac_binary64_1107 associate-/r*_binary64_1045
10×add-sqr-sqrt_binary64_1123 sum-log_binary64_1192 add-cube-cbrt_binary64_1136 div-exp_binary64_1152
prod-exp_binary64_1150 distribute-lft-out_binary64_1052
associate-/r/_binary64_1047 cbrt-undiv_binary64_1135
pow1_binary64_1162 flip3-+_binary64_1104 flip-+_binary64_1075
cbrt-unprod_binary64_1134 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-/l*_binary64_1046
pow-exp_binary64_1169 pow-to-exp_binary64_1170
associate-+r+_binary64_1033 +-commutative_binary64_1031
Counts
4 → 95
Calls

4 calls:

25.0ms
(/.f64 (*.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
18.0ms
(/.f64 (*.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
17.0ms
(/.f64 (*.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
17.0ms
(+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c)))))

series2.9s (8%)

Counts
4 → 121
Calls

4 calls:

913.0ms
(/.f64 (*.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
777.0ms
(/.f64 (*.f64 x (pow.f64 y 4)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
657.0ms
(+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c)))))
563.0ms
(/.f64 (*.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
Compiler

Compiled 26157 to 14732 computations (43.7% saved)

simplify79.0ms (0.2%)

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
051296841

prune1.4s (3.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New20610216
Fresh41115
Picked101
Done112
Total21222234

Merged error: 12.0b

Counts
234 → 22
Compiler

Compiled 30477 to 12658 computations (58.5% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b
(+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c)))))
21.0b
(/.f64 (*.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
23.4b
(/.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (*.f64 y (+.f64 (*.f64 y b) c)))))
23.6b
(/.f64 (*.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))

rewrite108.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64_1101
29×times-frac_binary64_1107
24×add-sqr-sqrt_binary64_1123 add-exp-log_binary64_1139 add-cube-cbrt_binary64_1136
18×add-log-exp_binary64_1140
16×add-cbrt-cube_binary64_1137
12×unpow-prod-down_binary64_1180
11×associate-/r*_binary64_1045
10×sum-log_binary64_1192 associate-/r/_binary64_1047
associate-/l*_binary64_1046 div-exp_binary64_1152
flip3-+_binary64_1104 flip-+_binary64_1075
distribute-lft-out_binary64_1052 cbrt-undiv_binary64_1135
prod-exp_binary64_1150 pow1_binary64_1162 associate-*r/_binary64_1043 frac-add_binary64_1109 sqr-pow_binary64_1073
frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098
pow-exp_binary64_1169 cbrt-unprod_binary64_1134 pow-to-exp_binary64_1170
associate-+r+_binary64_1033 +-commutative_binary64_1031
Counts
4 → 119
Calls

4 calls:

19.0ms
(/.f64 (*.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
17.0ms
(/.f64 (*.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
16.0ms
(+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c)))))
16.0ms
(/.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (*.f64 y (+.f64 (*.f64 y b) c)))))

series2.6s (7.1%)

Counts
4 → 118
Calls

4 calls:

918.0ms
(/.f64 (*.f64 z (pow.f64 y 3)) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
658.0ms
(+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c)))))
575.0ms
(/.f64 (*.f64 y y) (+.f64 (pow.f64 y 4) (+.f64 (*.f64 a (pow.f64 y 3)) (+.f64 (*.f64 b (*.f64 y y)) (+.f64 i (*.f64 y c))))))
459.0ms
(/.f64 (pow.f64 y 4) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 y a)) (+.f64 i (*.f64 y (+.f64 (*.f64 y b) c)))))
Compiler

Compiled 24621 to 14486 computations (41.2% saved)

simplify90.0ms (0.2%)

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
051748227

prune1.5s (4%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New22413237
Fresh91120
Picked101
Done011
Total23425259

Merged error: 11.7b

Counts
259 → 25
Compiler

Compiled 31528 to 12518 computations (60.3% saved)

regimes4.2s (11.5%)

Compiler

Compiled 78373 to 44982 computations (42.6% saved)

bsearch16.0ms (0%)

Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104586
1104586

end0.0ms (0%)

sample5.5s (15.1%)

Algorithm
intervals
Results
719.0ms8000×body128valid
19.0ms234×body128invalid
Compiler

Compiled 9125 to 5177 computations (43.3% saved)

Profiling

Loading profile data...