Details

Time bar (total: 12.0s)

analyze1.1s (8.8%)

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%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample27.0ms (0.2%)

Algorithm
intervals
Results
8.0ms207×body128valid
3.0ms18×body1024valid
2.0ms15×body512valid
1.0ms33×body128invalid
1.0ms12×body256valid
1.0msbody2048valid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify263.0ms (2.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
0488719
1488719

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.8b

Counts
2 → 1
Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 t x))
2.2b
(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
17.7b
(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite43.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_16957 *-un-lft-identity_binary64_16935
13×flip--_binary64_16910 flip3--_binary64_16939
10×add-cbrt-cube_binary64_16971 add-exp-log_binary64_16973
add-cube-cbrt_binary64_16970
associate-/l/_binary64_16882 frac-times_binary64_16945
cancel-sign-sub-inv_binary64_16901
pow1_binary64_16996 times-frac_binary64_16941 associate-*l*_binary64_16876 associate-/r*_binary64_16879 add-log-exp_binary64_16974 associate-*r*_binary64_16875
associate-*r/_binary64_16877 difference-of-squares_binary64_16904 associate-*l/_binary64_16878 distribute-rgt-in_binary64_16885 distribute-lft-out--_binary64_16887 distribute-lft-in_binary64_16884
sub-neg_binary64_16928 cbrt-unprod_binary64_16968 associate-/r/_binary64_16881 div-exp_binary64_16986 prod-exp_binary64_16984 cbrt-undiv_binary64_16969
flip3-+_binary64_16938 unswap-sqr_binary64_16903 pow-prod-down_binary64_17006 div-inv_binary64_16932 frac-2neg_binary64_16946 distribute-lft-out_binary64_16886 flip-+_binary64_16909 clear-num_binary64_16934 +-commutative_binary64_16865 associate-/l*_binary64_16880 sum-log_binary64_17026 *-commutative_binary64_16866
Counts
3 → 85
Calls

3 calls:

15.0ms
(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
11.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))

series938.0ms (7.8%)

Counts
3 → 9
Calls

3 calls:

497.0ms
(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
365.0ms
(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))
76.0ms
(*.f64 (-.f64 y z) (-.f64 t x))

simplify67.0ms (0.6%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
070211683

prune654.0ms (5.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New811394
Fresh000
Picked011
Done000
Total811495

Merged error: 5.8b

Counts
95 → 14
Compiler

Compiled 9389 to 5099 computations (45.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
1.9b
(*.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))))
10.0b
(+.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)))))

rewrite74.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt_binary64_16957
59×*-un-lft-identity_binary64_16935
52×times-frac_binary64_16941
46×associate-*r*_binary64_16875
37×cbrt-prod_binary64_16966
27×add-cube-cbrt_binary64_16970
25×add-exp-log_binary64_16973
18×add-cbrt-cube_binary64_16971 cbrt-div_binary64_16967
17×associate-*l*_binary64_16876
16×difference-of-squares_binary64_16904 distribute-lft-out--_binary64_16887
10×associate-/r/_binary64_16881
flip--_binary64_16910 flip3--_binary64_16939
cbrt-unprod_binary64_16968 prod-exp_binary64_16984
div-exp_binary64_16986 cbrt-undiv_binary64_16969
pow1_binary64_16996 unswap-sqr_binary64_16903 add-log-exp_binary64_16974
frac-times_binary64_16945
associate-*r/_binary64_16877 associate-*l/_binary64_16878
pow1/3_binary64_17017 div-inv_binary64_16932
flip3-+_binary64_16938 pow-prod-down_binary64_17006 flip-+_binary64_16909 +-commutative_binary64_16865 sum-log_binary64_17026 *-commutative_binary64_16866
Counts
4 → 134
Calls

4 calls:

43.0ms
(*.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))
3.0ms
(cbrt.f64 (-.f64 a z))

series1.7s (14.5%)

Counts
4 → 12
Calls

4 calls:

757.0ms
(*.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))))
530.0ms
(+.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)))))
229.0ms
(cbrt.f64 (-.f64 a z))
223.0ms
(cbrt.f64 (-.f64 a z))

simplify70.0ms (0.6%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055843915

prune304.0ms (2.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1433146
Fresh01212
Picked011
Done011
Total14317160

Merged error: 5.8b

Counts
160 → 17
Compiler

Compiled 8164 to 2749 computations (66.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 t x))
0.6b
(cbrt.f64 (-.f64 t x))
1.1b
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))))
10.7b
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))

rewrite62.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
40×cbrt-div_binary64_16967
25×add-exp-log_binary64_16973
20×frac-times_binary64_16945 flip--_binary64_16910 flip3--_binary64_16939
17×associate-*l*_binary64_16876
16×add-sqr-sqrt_binary64_16957
15×add-cbrt-cube_binary64_16971
14×associate-*r/_binary64_16877 *-un-lft-identity_binary64_16935
11×cbrt-unprod_binary64_16968 prod-exp_binary64_16984
10×cbrt-prod_binary64_16966
pow1_binary64_16996
add-cube-cbrt_binary64_16970 associate-/r/_binary64_16881
associate-*l/_binary64_16878
times-frac_binary64_16941 add-log-exp_binary64_16974
div-exp_binary64_16986 cbrt-undiv_binary64_16969
difference-of-squares_binary64_16904 pow-prod-down_binary64_17006 distribute-lft-out--_binary64_16887
unswap-sqr_binary64_16903 pow1/3_binary64_17017
flip3-+_binary64_16938 div-inv_binary64_16932 flip-+_binary64_16909 +-commutative_binary64_16865 sum-log_binary64_17026 *-commutative_binary64_16866 associate-*r*_binary64_16875
Counts
4 → 100
Calls

4 calls:

31.0ms
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))))
6.0ms
(cbrt.f64 (-.f64 t x))
5.0ms
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
3.0ms
(cbrt.f64 (-.f64 t x))

series2.8s (23.3%)

Counts
4 → 12
Calls

4 calls:

1.8s
(*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))))
539.0ms
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x)))) (/.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 a z)))))
218.0ms
(cbrt.f64 (-.f64 t x))
206.0ms
(cbrt.f64 (-.f64 t x))

simplify81.0ms (0.7%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049793427
149793427

prune169.0ms (1.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh11314
Picked011
Done022
Total11217129

Merged error: 5.8b

Counts
129 → 17
Compiler

Compiled 5538 to 1260 computations (77.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 a z))
0.5b
(cbrt.f64 (-.f64 a z))
1.7b
(*.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))
10.0b
(+.f64 x (*.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))

rewrite134.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt_binary64_16957
98×times-frac_binary64_16941
84×cbrt-prod_binary64_16966
74×*-un-lft-identity_binary64_16935
69×add-exp-log_binary64_16973
61×associate-*r*_binary64_16875
44×cbrt-div_binary64_16967
42×add-cbrt-cube_binary64_16971
36×add-cube-cbrt_binary64_16970
29×associate-*l*_binary64_16876
27×div-exp_binary64_16986 cbrt-undiv_binary64_16969
24×cbrt-unprod_binary64_16968 prod-exp_binary64_16984
19×difference-of-squares_binary64_16904 distribute-lft-out--_binary64_16887
18×associate-/r/_binary64_16881
15×flip--_binary64_16910 flip3--_binary64_16939
12×unswap-sqr_binary64_16903
frac-times_binary64_16945
pow1_binary64_16996 add-log-exp_binary64_16974
associate-*r/_binary64_16877 associate-*l/_binary64_16878
div-inv_binary64_16932
pow1/3_binary64_17017
flip3-+_binary64_16938 pow-prod-down_binary64_17006 flip-+_binary64_16909 +-commutative_binary64_16865 sum-log_binary64_17026 *-commutative_binary64_16866
Counts
4 → 183
Calls

4 calls:

78.0ms
(*.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))
5.0ms
(+.f64 x (*.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
4.0ms
(cbrt.f64 (-.f64 a z))
4.0ms
(cbrt.f64 (-.f64 a z))

series1.6s (13.7%)

Counts
4 → 12
Calls

4 calls:

727.0ms
(*.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))
510.0ms
(+.f64 x (*.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
211.0ms
(cbrt.f64 (-.f64 a z))
197.0ms
(cbrt.f64 (-.f64 a z))

simplify110.0ms (0.9%)

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050487407

prune253.0ms (2.1%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1941195
Fresh21113
Picked011
Done033
Total19616212

Merged error: 5.8b

Counts
212 → 16
Compiler

Compiled 8360 to 1661 computations (80.1% saved)

regimes286.0ms (2.4%)

Compiler

Compiled 2561 to 1415 computations (44.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
095124
195124

end0.0ms (0%)

sample1.2s (9.6%)

Algorithm
intervals
Results
283.0ms6694×body128valid
61.0ms401×body1024valid
55.0ms483×body512valid
48.0ms1211×body128invalid
27.0ms361×body256valid
11.0ms61×body2048valid
Compiler

Compiled 541 to 286 computations (47.1% saved)

Profiling

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