Details

Time bar (total: 11.3s)

analyze1.0s (9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.3%0.2%12
12.2%87.5%0.2%13
21.9%77.7%0.4%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (0.2%)

Algorithm
intervals
Results
8.0ms218×body128valid
2.0ms17×body512valid
2.0ms44×body128invalid
1.0ms10×body1024valid
1.0ms11×body256valid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify269.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
0508419

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.2b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 t x) (-.f64 a z))
3.8b
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
4.6b
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite51.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64_3197
73×*-un-lft-identity_binary64_3175
51×times-frac_binary64_3181
31×associate-*r*_binary64_3115
27×add-cube-cbrt_binary64_3210
23×difference-of-squares_binary64_3144 distribute-lft-out--_binary64_3127
10×add-cbrt-cube_binary64_3211 add-exp-log_binary64_3213
flip--_binary64_3150 flip3--_binary64_3179 associate-/l*_binary64_3120 associate-/r*_binary64_3119 associate-*l*_binary64_3116 pow1_binary64_3236 add-log-exp_binary64_3214
associate-/r/_binary64_3121
prod-exp_binary64_3224 frac-times_binary64_3185 div-inv_binary64_3172 cbrt-unprod_binary64_3208 cbrt-undiv_binary64_3209 unswap-sqr_binary64_3143 associate-*l/_binary64_3118 associate-/l/_binary64_3122 div-exp_binary64_3226
associate-*r/_binary64_3117 div-sub_binary64_3180 *-commutative_binary64_3106 pow-prod-down_binary64_3246 clear-num_binary64_3174 flip-+_binary64_3149 frac-2neg_binary64_3186 flip3-+_binary64_3178 +-commutative_binary64_3105 sum-log_binary64_3266
Counts
3 → 119
Calls

3 calls:

25.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms
(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

series985.0ms (8.7%)

Counts
3 → 9
Calls

3 calls:

497.0ms
(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
352.0ms
(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
135.0ms
(/.f64 (-.f64 t x) (-.f64 a z))

simplify67.0ms (0.6%)

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
055582420

prune838.0ms (7.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New11315128
Fresh000
Picked011
Done000
Total11316129

Merged error: 3.6b

Counts
129 → 16
Compiler

Compiled 18738 to 10078 computations (46.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
0.8b
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
8.7b
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite56.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_3213
17×add-sqr-sqrt_binary64_3197
16×cbrt-div_binary64_3207
14×*-un-lft-identity_binary64_3175 add-cbrt-cube_binary64_3211
13×associate-*r*_binary64_3115
10×flip--_binary64_3150 flip3--_binary64_3179 cbrt-prod_binary64_3206
prod-exp_binary64_3224 cbrt-unprod_binary64_3208
add-cube-cbrt_binary64_3210 associate-/r/_binary64_3121
frac-times_binary64_3185 pow1_binary64_3236 add-log-exp_binary64_3214
associate-*l*_binary64_3116
cbrt-undiv_binary64_3209 associate-*l/_binary64_3118 div-exp_binary64_3226
associate-*r/_binary64_3117 difference-of-squares_binary64_3144 distribute-lft-out--_binary64_3127
times-frac_binary64_3181 pow1/3_binary64_3257 unswap-sqr_binary64_3143
*-commutative_binary64_3106 pow-prod-down_binary64_3246 flip-+_binary64_3149 div-inv_binary64_3172 flip3-+_binary64_3178 +-commutative_binary64_3105 sum-log_binary64_3266
Counts
4 → 85
Calls

4 calls:

29.0ms
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
6.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
4.0ms
(cbrt.f64 (-.f64 a z))
3.0ms
(cbrt.f64 (-.f64 a z))

series2.1s (18.7%)

Counts
4 → 12
Calls

4 calls:

1.1s
(*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))))
529.0ms
(+.f64 x (*.f64 (*.f64 (-.f64 y z) (/.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z))))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
221.0ms
(cbrt.f64 (-.f64 a z))
217.0ms
(cbrt.f64 (-.f64 a z))

simplify105.0ms (0.9%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049792507
149792507

prune129.0ms (1.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh01414
Picked011
Done011
Total9716113

Merged error: 3.6b

Counts
113 → 16
Compiler

Compiled 4105 to 852 computations (79.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
1.5b
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
8.0b
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite80.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64_3197
59×*-un-lft-identity_binary64_3175
52×times-frac_binary64_3181
46×associate-*r*_binary64_3115
37×cbrt-prod_binary64_3206
27×add-cube-cbrt_binary64_3210
25×add-exp-log_binary64_3213
18×add-cbrt-cube_binary64_3211 cbrt-div_binary64_3207
17×associate-*l*_binary64_3116
16×difference-of-squares_binary64_3144 distribute-lft-out--_binary64_3127
10×associate-/r/_binary64_3121
flip--_binary64_3150 flip3--_binary64_3179
prod-exp_binary64_3224 cbrt-unprod_binary64_3208
cbrt-undiv_binary64_3209 div-exp_binary64_3226
unswap-sqr_binary64_3143 pow1_binary64_3236 add-log-exp_binary64_3214
frac-times_binary64_3185
associate-*r/_binary64_3117 associate-*l/_binary64_3118
div-inv_binary64_3172 pow1/3_binary64_3257
*-commutative_binary64_3106 pow-prod-down_binary64_3246 flip-+_binary64_3149 flip3-+_binary64_3178 +-commutative_binary64_3105 sum-log_binary64_3266
Counts
4 → 134
Calls

4 calls:

47.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
5.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
4.0ms
(cbrt.f64 (-.f64 a z))
4.0ms
(cbrt.f64 (-.f64 a z))

series1.6s (14.6%)

Counts
4 → 12
Calls

4 calls:

715.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
503.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
217.0ms
(cbrt.f64 (-.f64 a z))
214.0ms
(cbrt.f64 (-.f64 a z))

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
055843915

prune272.0ms (2.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1433146
Fresh4913
Picked101
Done022
Total14814162

Merged error: 3.6b

Counts
162 → 14
Compiler

Compiled 7066 to 2258 computations (68% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 (-.f64 a z)))
0.6b
(cbrt.f64 (cbrt.f64 (-.f64 a z)))
1.5b
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
8.9b
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))))

rewrite109.0ms (1%)

Algorithm
rewrite-expression-head
Rules
128×cbrt-div_binary64_3207
58×add-exp-log_binary64_3213
38×add-cbrt-cube_binary64_3211
35×flip--_binary64_3150 flip3--_binary64_3179 associate-*r*_binary64_3115
34×associate-/r/_binary64_3121
33×frac-times_binary64_3185
26×cbrt-prod_binary64_3206
25×prod-exp_binary64_3224 cbrt-unprod_binary64_3208
24×add-sqr-sqrt_binary64_3197
20×*-un-lft-identity_binary64_3175
17×associate-*l*_binary64_3116 cbrt-undiv_binary64_3209 associate-*l/_binary64_3118 div-exp_binary64_3226
12×add-cube-cbrt_binary64_3210
11×associate-*r/_binary64_3117 times-frac_binary64_3181
pow1_binary64_3236 add-log-exp_binary64_3214
difference-of-squares_binary64_3144 distribute-lft-out--_binary64_3127
div-inv_binary64_3172 pow1/3_binary64_3257 unswap-sqr_binary64_3143
*-commutative_binary64_3106 pow-prod-down_binary64_3246 flip-+_binary64_3149 flip3-+_binary64_3178 +-commutative_binary64_3105 sum-log_binary64_3266
Counts
4 → 137
Calls

4 calls:

64.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
5.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))))
5.0ms
(cbrt.f64 (cbrt.f64 (-.f64 a z)))
5.0ms
(cbrt.f64 (cbrt.f64 (-.f64 a z)))

series1.7s (15%)

Counts
4 → 12
Calls

4 calls:

736.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
526.0ms
(+.f64 x (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))))
218.0ms
(cbrt.f64 (cbrt.f64 (-.f64 a z)))
210.0ms
(cbrt.f64 (cbrt.f64 (-.f64 a z)))

simplify95.0ms (0.8%)

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049724188
149724188

prune208.0ms (1.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1472149
Fresh01111
Picked011
Done022
Total14716163

Merged error: 3.6b

Counts
163 → 16
Compiler

Compiled 6308 to 1621 computations (74.3% saved)

regimes292.0ms (2.6%)

Compiler

Compiled 2472 to 1474 computations (40.4% saved)

bsearch3.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078121
178121

end0.0ms (0%)

sample1.1s (9.6%)

Algorithm
intervals
Results
278.0ms6711×body128valid
58.0ms1228×body128invalid
51.0ms492×body512valid
50.0ms358×body1024valid
26.0ms367×body256valid
13.0ms72×body2048valid
Compiler

Compiled 490 to 275 computations (43.9% saved)

Profiling

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