Details

Time bar (total: 11.8s)

analyze266.0ms (2.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample39.0ms (0.3%)

Algorithm
intervals
Results
9.0ms100×body256valid
9.0ms284×pre128true
8.0ms156×body128valid
1.0ms28×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify372.0ms (3.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (276.0ms)

IterNodesCost
0180224
1180224

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
43.8b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
37.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_3169
14×*-un-lft-identity_binary64_3147 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
pow1_binary64_3208
add-log-exp_binary64_3186 add-cube-cbrt_binary64_3182
times-frac_binary64_3153 difference-of-squares_binary64_3116 associate-/l*_binary64_3092
cancel-sign-sub-inv_binary64_3113 prod-exp_binary64_3196 cbrt-unprod_binary64_3180
flip--_binary64_3122 pow-prod-down_binary64_3218 flip3--_binary64_3151 associate-*r*_binary64_3087 distribute-lft-out--_binary64_3099 sqrt-prod_binary64_3163
sub-neg_binary64_3140 associate-/l/_binary64_3094 cbrt-undiv_binary64_3181 div-exp_binary64_3198 diff-log_binary64_3239
*-commutative_binary64_3078 clear-num_binary64_3146 frac-2neg_binary64_3158 associate-/r*_binary64_3091 div-sub_binary64_3152 associate-*l*_binary64_3088 div-inv_binary64_3144
Counts
4 → 77
Calls

8 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))

series571.0ms (4.8%)

Counts
4 → 60
Calls

4 calls:

214.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
156.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
148.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
53.0ms
(*.f64 (*.f64 3 a) c)
Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify55.0ms (0.5%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
052682923

prune245.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12512137
Fresh000
Picked101
Done000
Total12612138
Error
0.4b
Counts
138 → 12
Compiler

Compiled 3285 to 1940 computations (40.9% saved)

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b
(*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
0.1b
(-.f64 (*.f64 -1/2 (/.f64 c b)) (+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))))
0.1b
(+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))
0.0b
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 c b)) (+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (*.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
0.3b
(*.f64 (*.f64 a a) (pow.f64 c 3))
0.3b
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite67.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
144×add-exp-log_binary64_3185
72×prod-exp_binary64_3196
51×div-exp_binary64_3198
49×pow-exp_binary64_3215 pow-to-exp_binary64_3216
40×add-sqr-sqrt_binary64_3169
29×unpow-prod-down_binary64_3226
25×add-cbrt-cube_binary64_3183
20×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
19×associate-*r*_binary64_3087
16×unswap-sqr_binary64_3115
15×sqr-pow_binary64_3119
14×times-frac_binary64_3153 associate-/r*_binary64_3091
13×associate-*l*_binary64_3088
10×cube-prod_binary64_3175
cbrt-unprod_binary64_3180
cbrt-undiv_binary64_3181
pow1_binary64_3208 add-log-exp_binary64_3186
*-commutative_binary64_3078 clear-num_binary64_3146 frac-2neg_binary64_3158 cube-mult_binary64_3177 associate-/l*_binary64_3092 unpow3_binary64_3213 div-inv_binary64_3144
Counts
4 → 188
Calls

8 calls:

10.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
9.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.0ms
(-.f64 (-.f64 (*.f64 -1/2 (/.f64 c b)) (+.f64 (*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))) (*.f64 9/16 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))))) (*.f64 135/128 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

series1.0s (8.6%)

Counts
4 → 30
Calls

4 calls:

527.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
276.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
119.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
94.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
Compiler

Compiled 2700 to 2130 computations (21.1% saved)

simplify111.0ms (0.9%)

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049843398
149843398

prune689.0ms (5.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New2180218
Fresh01111
Picked011
Done000
Total21812230
Error
0.4b
Counts
230 → 12
Compiler

Compiled 10883 to 6904 computations (36.6% saved)

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))
0.1b
(+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))))
0.1b
(-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7)))))
0.1b
(+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))
0.3b
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.3b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.4b
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.7b
(pow.f64 (*.f64 a c) 3)

rewrite88.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
59×times-frac_binary64_3153
49×add-sqr-sqrt_binary64_3169
48×unpow-prod-down_binary64_3226
44×add-exp-log_binary64_3185
37×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
26×sqr-pow_binary64_3119
18×pow-exp_binary64_3215
16×add-cbrt-cube_binary64_3183
14×pow-to-exp_binary64_3216 prod-exp_binary64_3196 div-exp_binary64_3198
11×associate-/l*_binary64_3092
10×associate-*r/_binary64_3089
unswap-sqr_binary64_3115 cube-prod_binary64_3175 cube-mult_binary64_3177 unpow3_binary64_3213
associate-/r*_binary64_3091
associate-*r*_binary64_3087 associate-/l/_binary64_3094 pow1_binary64_3208 associate-*l*_binary64_3088
frac-sub_binary64_3156
frac-add_binary64_3155 add-log-exp_binary64_3186
cbrt-undiv_binary64_3181 cbrt-unprod_binary64_3180 pow-unpow_binary64_3224
clear-num_binary64_3146 flip-+_binary64_3121 pow-prod-down_binary64_3218 rem-cube-cbrt_binary64_3170 frac-2neg_binary64_3158 flip3-+_binary64_3150 pow-pow_binary64_3219 div-inv_binary64_3144
*-commutative_binary64_3078 flip--_binary64_3122 flip3--_binary64_3151 div-sub_binary64_3152
Counts
4 → 187
Calls

8 calls:

32.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
8.0ms
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
8.0ms
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms
(pow.f64 (*.f64 a c) 3)
0.0ms
(+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))

series860.0ms (7.3%)

Counts
4 → 42
Calls

4 calls:

323.0ms
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
321.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
126.0ms
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
90.0ms
(pow.f64 (*.f64 a c) 3)
Compiler

Compiled 2811 to 2224 computations (20.9% saved)

simplify98.0ms (0.8%)

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050895874

prune976.0ms (8.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2218229
Fresh2810
Picked101
Done011
Total22417241
Error
0.4b
Counts
241 → 17
Compiler

Compiled 14692 to 8839 computations (39.8% saved)

localize34.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b
(*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16)
0.2b
(+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))))
0.1b
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
0.1b
(-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))))
0.4b
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b
(pow.f64 (*.f64 a c) 2)
0.7b
(pow.f64 (*.f64 a c) 3)
0.8b
(pow.f64 (*.f64 a c) 4)

rewrite42.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
56×times-frac_binary64_3153
38×unpow-prod-down_binary64_3226
33×*-un-lft-identity_binary64_3147 add-exp-log_binary64_3185 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
20×sqr-pow_binary64_3119
16×pow-exp_binary64_3215
13×pow1_binary64_3208
12×div-exp_binary64_3198
10×pow-to-exp_binary64_3216
add-cbrt-cube_binary64_3183 cube-prod_binary64_3175 cube-mult_binary64_3177 pow-unpow_binary64_3224 unpow3_binary64_3213
associate-/l*_binary64_3092
associate-/r*_binary64_3091
prod-exp_binary64_3196 pow-pow_binary64_3219
add-log-exp_binary64_3186
pow-prod-down_binary64_3218
rem-cube-cbrt_binary64_3170
clear-num_binary64_3146 frac-2neg_binary64_3158 unpow2_binary64_3212 cbrt-undiv_binary64_3181 cbrt-unprod_binary64_3180 div-inv_binary64_3144
Counts
4 → 151
Calls

8 calls:

8.0ms
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms
(pow.f64 (*.f64 a c) 4)
4.0ms
(pow.f64 (*.f64 a c) 3)
4.0ms
(pow.f64 (*.f64 a c) 2)
0.0ms
(-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))))

series567.0ms (4.8%)

Counts
4 → 27
Calls

4 calls:

308.0ms
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
98.0ms
(pow.f64 (*.f64 a c) 4)
87.0ms
(pow.f64 (*.f64 a c) 3)
73.0ms
(pow.f64 (*.f64 a c) 2)
Compiler

Compiled 2646 to 1998 computations (24.5% saved)

simplify72.0ms (0.6%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
052512662

prune505.0ms (4.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh01515
Picked011
Done011
Total17817195
Error
0.4b
Counts
195 → 17
Compiler

Compiled 9214 to 5713 computations (38% saved)

simplify241.0ms (2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (188.0ms)

IterNodesCost
049104261
149104261

regimes719.0ms (6.1%)

Compiler

Compiled 11679 to 8118 computations (30.5% saved)

bsearch0.0ms (0%)

regimes237.0ms (2%)

Compiler

Compiled 2644 to 2073 computations (21.6% saved)

bsearch0.0ms (0%)

regimes167.0ms (1.4%)

Compiler

Compiled 1403 to 1197 computations (14.7% saved)

bsearch38.0ms (0.3%)

Steps
ItersRangePoint
5
0.002582119031737095
0.007461905188318953
0.004456882830972271
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes100.0ms (0.8%)

Compiler

Compiled 578 to 549 computations (5% saved)

bsearch36.0ms (0.3%)

Steps
ItersRangePoint
5
0.002582119031737095
0.007461905188318953
0.00340607677488054
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes65.0ms (0.6%)

Compiler

Compiled 280 to 296 computations (-5.7% saved)

bsearch34.0ms (0.3%)

Steps
ItersRangePoint
5
0.002582119031737095
0.007461905188318953
0.004844627651275068
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.3%)

Compiler

Compiled 63 to 102 computations (-61.9% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes23.0ms (0.2%)

Accuracy

Total 2.4b remaining (88.8%)

Threshold costs 0b (0%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch10.0ms (0.1%)

Compiler

Compiled 199 to 155 computations (22.1% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0262294
1262294

end0.0ms (0%)

sample3.3s (27.8%)

Algorithm
intervals
Results
282.0ms2941×body256valid
272.0ms8868×pre128true
261.0ms5059×body128valid
46.0ms868×body128nan
Compiler

Compiled 3045 to 2127 computations (30.1% saved)

Pareto

0.8947317336663142

Profiling

Loading profile data...