Details

Time bar (total: 4.6s)

analyze782.0ms (17%)

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
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms47×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify401.0ms (8.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (229.0ms)

IterNodesCost
036747
136747

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 2
Compiler

Compiled 33 to 34 computations (-3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.2b
(*.f64 x (/.f64 y z))

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_17989
13×associate-*r*_binary64_17907
10×times-frac_binary64_17973
add-cube-cbrt_binary64_18002 *-un-lft-identity_binary64_17967
add-exp-log_binary64_18005 add-cbrt-cube_binary64_18003
pow1_binary64_18028 associate-*l*_binary64_17908
cbrt-unprod_binary64_18000 prod-exp_binary64_18016 unswap-sqr_binary64_17935
*-commutative_binary64_17898 div-exp_binary64_18018 cbrt-undiv_binary64_18001 pow-prod-down_binary64_18038 div-inv_binary64_17964 add-log-exp_binary64_18006 associate-*r/_binary64_17909
Counts
1 → 32
Calls

1 calls:

8.0ms
(*.f64 x (/.f64 y z))

series41.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

41.0ms
(*.f64 x (/.f64 y z))

simplify87.0ms (1.9%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
05551348

prune139.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New251035
Fresh101
Picked011
Done000
Total261137

Merged error: 0.0b

Counts
37 → 11
Compiler

Compiled 2018 to 1271 computations (37% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.9b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite23.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_18005
14×add-cbrt-cube_binary64_18003
12×add-sqr-sqrt_binary64_17989
cbrt-unprod_binary64_18000 prod-exp_binary64_18016 add-cube-cbrt_binary64_18002 *-un-lft-identity_binary64_17967 cbrt-prod_binary64_17998
pow1_binary64_18028
associate-*r*_binary64_17907
div-exp_binary64_18018 cbrt-undiv_binary64_18001 add-log-exp_binary64_18006
pow1/3_binary64_18049 associate-*l*_binary64_17908
unswap-sqr_binary64_17935 times-frac_binary64_17973
*-commutative_binary64_17898 pow-prod-down_binary64_18038 div-inv_binary64_17964 associate-*r/_binary64_17909
Counts
4 → 63
Calls

4 calls:

13.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series645.0ms (14%)

Counts
4 → 12
Calls

4 calls:

163.0ms
(cbrt.f64 z)
163.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
161.0ms
(cbrt.f64 z)
158.0ms
(cbrt.f64 z)

simplify69.0ms (1.5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04990832
14990832

prune69.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh099
Picked011
Done011
Total751186

Merged error: 0.0b

Counts
86 → 11
Compiler

Compiled 1735 to 480 computations (72.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.2b
(*.f64 x (/.f64 y z))
12.5b
(cbrt.f64 (*.f64 x (/.f64 y z)))
12.5b
(cbrt.f64 (*.f64 x (/.f64 y z)))
12.5b
(cbrt.f64 (*.f64 x (/.f64 y z)))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_17989
13×associate-*r*_binary64_17907
12×add-cube-cbrt_binary64_18002 *-un-lft-identity_binary64_17967
10×times-frac_binary64_17973
add-exp-log_binary64_18005 add-cbrt-cube_binary64_18003
pow1_binary64_18028
add-log-exp_binary64_18006 associate-*r/_binary64_17909
pow1/3_binary64_18049 cbrt-div_binary64_17999 associate-*l*_binary64_17908 cbrt-prod_binary64_17998
cbrt-unprod_binary64_18000 prod-exp_binary64_18016 unswap-sqr_binary64_17935
*-commutative_binary64_17898 div-exp_binary64_18018 cbrt-undiv_binary64_18001 pow-prod-down_binary64_18038 div-inv_binary64_17964
Counts
4 → 62
Calls

4 calls:

8.0ms
(*.f64 x (/.f64 y z))
4.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))

series505.0ms (11%)

Counts
4 → 12
Calls

4 calls:

167.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
158.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
146.0ms
(cbrt.f64 (*.f64 x (/.f64 y z)))
34.0ms
(*.f64 x (/.f64 y z))

simplify93.0ms (2%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04939769
14939769

prune76.0ms (1.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New73174
Fresh088
Picked011
Done022
Total731285

Merged error: 0b

Counts
85 → 12
Compiler

Compiled 2068 to 449 computations (78.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b
(*.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))
12.0b
(cbrt.f64 (/.f64 y z))
12.0b
(cbrt.f64 (/.f64 y z))
12.0b
(cbrt.f64 (/.f64 y z))

rewrite27.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod_binary64_17998
27×add-sqr-sqrt_binary64_17989 times-frac_binary64_17973
26×add-cube-cbrt_binary64_18002 *-un-lft-identity_binary64_17967
pow1_binary64_18028 add-exp-log_binary64_18005
cbrt-div_binary64_17999 add-cbrt-cube_binary64_18003
add-log-exp_binary64_18006 associate-*r/_binary64_17909
pow1/3_binary64_18049 cbrt-unprod_binary64_18000 prod-exp_binary64_18016 pow-prod-down_binary64_18038 associate-*l*_binary64_17908 div-inv_binary64_17964
*-commutative_binary64_17898 associate-*l/_binary64_17910 unswap-sqr_binary64_17935 frac-times_binary64_17977 associate-*r*_binary64_17907
Counts
4 → 88
Calls

4 calls:

11.0ms
(*.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))
3.0ms
(cbrt.f64 (/.f64 y z))
3.0ms
(cbrt.f64 (/.f64 y z))
2.0ms
(cbrt.f64 (/.f64 y z))

series447.0ms (9.7%)

Counts
4 → 12
Calls

4 calls:

141.0ms
(*.f64 x (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 y z))))
107.0ms
(cbrt.f64 (/.f64 y z))
105.0ms
(cbrt.f64 (/.f64 y z))
94.0ms
(cbrt.f64 (/.f64 y z))

simplify57.0ms (1.2%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
054561199

prune98.0ms (2.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh088
Picked011
Done033
Total10012112

Merged error: 0b

Counts
112 → 12
Compiler

Compiled 2342 to 690 computations (70.5% saved)

regimes119.0ms (2.6%)

Compiler

Compiled 947 to 631 computations (33.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample822.0ms (17.9%)

Algorithm
intervals
Results
293.0ms8000×body128valid
54.0ms1553×body128invalid
Compiler

Compiled 262 to 156 computations (40.5% saved)

Profiling

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