Details

Time bar (total: 3.0s)

analyze248.0ms (8.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify173.0ms (5.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
021210
121210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.9b
(*.f64 x (-.f64 1 (*.f64 y z)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_9871
pow1_binary64_9908 add-exp-log_binary64_9885 associate-*r*_binary64_9792 add-cube-cbrt_binary64_9882 *-un-lft-identity_binary64_9850 associate-*l*_binary64_9793 add-cbrt-cube_binary64_9883
associate-*r/_binary64_9794 sub-neg_binary64_9843
prod-exp_binary64_9896 flip--_binary64_9825 *-commutative_binary64_9783 unswap-sqr_binary64_9818 distribute-lft-in_binary64_9801 distribute-rgt-in_binary64_9802 flip3--_binary64_9854 pow-prod-down_binary64_9918 cbrt-unprod_binary64_9880 add-log-exp_binary64_9886
Counts
1 → 22
Calls

1 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

series102.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

102.0ms
(*.f64 x (-.f64 1 (*.f64 y z)))

simplify39.0ms (1.3%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04916302
14916302

prune32.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New17825
Fresh000
Picked101
Done000
Total18826

Merged error: 3.0b

Counts
26 → 8
Compiler

Compiled 405 to 232 computations (42.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.4b
(*.f64 x (neg.f64 (*.f64 y z)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
associate-*r*_binary64_9792
add-sqr-sqrt_binary64_9871
pow1_binary64_9908 add-exp-log_binary64_9885 add-cube-cbrt_binary64_9882 *-un-lft-identity_binary64_9850 associate-*l*_binary64_9793 add-cbrt-cube_binary64_9883
prod-exp_binary64_9896 neg-mul-1_binary64_9846 *-commutative_binary64_9783 unswap-sqr_binary64_9818 distribute-rgt-neg-out_binary64_9812 distribute-rgt-neg-in_binary64_9810 distribute-lft-neg-in_binary64_9809 pow-prod-down_binary64_9918 cbrt-unprod_binary64_9880 add-log-exp_binary64_9886
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

series52.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

52.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify66.0ms (2.2%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04862252
14862252

prune24.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New23225
Fresh347
Picked011
Done000
Total26733

Merged error: 0.0b

Counts
33 → 7
Compiler

Compiled 373 to 140 computations (62.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.4b
(*.f64 x (neg.f64 (*.f64 y z)))
13.3b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
13.3b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
13.3b
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_9871
pow1_binary64_9908 add-exp-log_binary64_9885 associate-*r*_binary64_9792 add-cube-cbrt_binary64_9882 *-un-lft-identity_binary64_9850 add-cbrt-cube_binary64_9883
add-log-exp_binary64_9886
cbrt-prod_binary64_9878 pow1/3_binary64_9929 associate-*l*_binary64_9793
prod-exp_binary64_9896 neg-mul-1_binary64_9846 *-commutative_binary64_9783 unswap-sqr_binary64_9818 distribute-rgt-neg-out_binary64_9812 distribute-rgt-neg-in_binary64_9810 distribute-lft-neg-in_binary64_9809 pow-prod-down_binary64_9918 cbrt-unprod_binary64_9880
Counts
4 → 49
Calls

4 calls:

5.0ms
(*.f64 x (neg.f64 (*.f64 y z)))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
3.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))

series573.0ms (18.9%)

Counts
4 → 12
Calls

4 calls:

179.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
176.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
171.0ms
(cbrt.f64 (*.f64 x (neg.f64 (*.f64 y z))))
47.0ms
(*.f64 x (neg.f64 (*.f64 y z)))

simplify56.0ms (1.8%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05305732

prune60.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done011
Total61768

Merged error: 0.0b

Counts
68 → 7
Compiler

Compiled 1820 to 337 computations (81.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.5b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x)))
1.7b
(*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x))

rewrite28.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
18×pow1_binary64_9908 add-exp-log_binary64_9885
13×add-sqr-sqrt_binary64_9871
11×add-cbrt-cube_binary64_9883
10×cbrt-prod_binary64_9878
prod-exp_binary64_9896 add-cube-cbrt_binary64_9882 *-un-lft-identity_binary64_9850 pow-prod-down_binary64_9918 cbrt-unprod_binary64_9880
associate-*r*_binary64_9792
associate-*l*_binary64_9793 associate-*l/_binary64_9795 add-log-exp_binary64_9886
flip--_binary64_9825 associate-*r/_binary64_9794 *-commutative_binary64_9783 unswap-sqr_binary64_9818 pow1/3_binary64_9929 flip3--_binary64_9854
Counts
4 → 70
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x)))
7.0ms
(*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series686.0ms (22.6%)

Counts
4 → 12
Calls

4 calls:

211.0ms
(*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x))
163.0ms
(cbrt.f64 x)
157.0ms
(cbrt.f64 x)
156.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 1 (*.f64 y z)) (cbrt.f64 x)))

simplify77.0ms (2.5%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04914906
14914906

prune61.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh044
Picked101
Done112
Total83689

Merged error: 0.0b

Counts
89 → 6
Compiler

Compiled 1335 to 541 computations (59.5% saved)

regimes160.0ms (5.3%)

Compiler

Compiled 652 to 539 computations (17.3% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08840
18840

end0.0ms (0%)

sample515.0ms (17%)

Algorithm
intervals
Results
199.0ms8000×body128valid
13.0ms564×body128invalid
Compiler

Compiled 113 to 88 computations (22.1% saved)

Profiling

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