Details

Time bar (total: 19.1s)

analyze3.9s (20.3%)

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)

sample75.0ms (0.4%)

Algorithm
intervals
Results
42.0ms256×body128valid
1.0msbody128invalid
Compiler

Compiled 67 to 61 computations (9% saved)

simplify542.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (368.0ms)

IterNodesCost
0483549
1483549

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 27.4b

Counts
2 → 1
Compiler

Compiled 66 to 52 computations (21.2% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.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 x y) z) y)
26.6b
(/.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))

rewrite139.0ms (0.7%)

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:

55.0ms
(/.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))
26.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
20.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
14.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

series1.1s (5.9%)

Counts
4 → 12
Calls

4 calls:

835.0ms
(/.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))
116.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
106.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
64.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

simplify126.0ms (0.7%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049573369
149573369

prune393.0ms (2.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9310103
Fresh000
Picked101
Done000
Total9410104

Merged error: 26.5b

Counts
104 → 10
Compiler

Compiled 4987 to 1570 computations (68.5% saved)

localize47.0ms (0.2%)

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 (+.f64 (*.f64 x y) z) y)
0.1b
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
26.7b
(*.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)))

rewrite161.0ms (0.8%)

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
unswap-sqr_binary64_1069
cbrt-unprod_binary64_1134 add-log-exp_binary64_1140 associate-/r/_binary64_1047 div-exp_binary64_1152 associate-*l/_binary64_1044
*-commutative_binary64_1032 associate-*r/_binary64_1043 associate-/l*_binary64_1046 pow-prod-down_binary64_1172 associate-/r*_binary64_1045
1-exp_binary64_1145 frac-times_binary64_1111 div-inv_binary64_1098 rec-exp_binary64_1151 cbrt-undiv_binary64_1135
inv-pow_binary64_1186 frac-2neg_binary64_1112 distribute-lft-in_binary64_1050 clear-num_binary64_1100 distribute-rgt-in_binary64_1051 pow-flip_binary64_1175 un-div-inv_binary64_1099
Counts
4 → 117
Calls

4 calls:

61.0ms
(*.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)))
32.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
25.0ms
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
15.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

series1.1s (5.8%)

Counts
4 → 12
Calls

4 calls:

849.0ms
(*.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)))
109.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
96.0ms
(*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
62.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

simplify174.0ms (0.9%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
049974391
149974391

prune386.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh099
Picked011
Done000
Total12811139

Merged error: 26.5b

Counts
139 → 11
Compiler

Compiled 6359 to 2017 computations (68.3% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
26.6b
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x y) z) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite95.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
times-frac_binary64_1107 cbrt-prod_binary64_1132
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-log-exp_binary64_1140 pow1_binary64_1162
pow1/3_binary64_1183 associate-/l*_binary64_1046 associate-/r*_binary64_1045
flip3-+_binary64_1104 associate-/l/_binary64_1048 associate-/r/_binary64_1047 flip-+_binary64_1075
frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 div-exp_binary64_1152 cbrt-undiv_binary64_1135
Counts
4 → 64
Calls

4 calls:

67.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x y) z) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)

series1.5s (8%)

Counts
4 → 12
Calls

4 calls:

1.0s
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 x y) z) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
170.0ms
(cbrt.f64 y)
166.0ms
(cbrt.f64 y)
156.0ms
(cbrt.f64 y)

simplify138.0ms (0.7%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
059152406

prune212.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh099
Picked011
Done011
Total761187

Merged error: 26.5b

Counts
87 → 11
Compiler

Compiled 4109 to 1292 computations (68.6% saved)

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

24.0b
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
24.0b
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
24.0b
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
26.6b
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))

rewrite192.0ms (1%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
times-frac_binary64_1107 cbrt-prod_binary64_1132
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 cbrt-div_binary64_1133
flip3-+_binary64_1104 flip-+_binary64_1075
add-log-exp_binary64_1140 pow1_binary64_1162
pow1/3_binary64_1183 associate-/l*_binary64_1046 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 → 70
Calls

4 calls:

101.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))
26.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
19.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
18.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))

series1.5s (7.6%)

Counts
4 → 12
Calls

4 calls:

785.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))
243.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
214.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
212.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))

simplify139.0ms (0.7%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049583374
149583374

prune232.0ms (1.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh088
Picked011
Done022
Total821193

Merged error: 26.5b

Counts
93 → 11
Compiler

Compiled 5276 to 1143 computations (78.3% saved)

regimes2.1s (10.9%)

Compiler

Compiled 21133 to 13185 computations (37.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04249
14249

end0.0ms (0%)

sample4.7s (24.6%)

Algorithm
intervals
Results
1.6s8000×body128valid
37.0ms233×body128invalid
Compiler

Compiled 2406 to 1506 computations (37.4% saved)

Profiling

Loading profile data...