Details

Time bar (total: 4.9s)

analyze790.0ms (16.3%)

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)

sample22.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms50×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify394.0ms (8.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (226.0ms)

IterNodesCost
036747
136747

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

Counts
2 → 2
Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.0b
(*.f64 x (/.f64 y z))

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_15937
13×associate-*r*_binary64_15858
10×times-frac_binary64_15922
add-cube-cbrt_binary64_15948 *-un-lft-identity_binary64_15916
add-cbrt-cube_binary64_15949 add-exp-log_binary64_15951
associate-*l*_binary64_15859 pow1_binary64_15974
prod-exp_binary64_15962 cbrt-unprod_binary64_15946 unswap-sqr_binary64_15884
div-exp_binary64_15964 pow-prod-down_binary64_15984 associate-*r/_binary64_15860 cbrt-undiv_binary64_15947 add-log-exp_binary64_15952 *-commutative_binary64_15849 div-inv_binary64_15913
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 x (/.f64 y z))

series38.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(*.f64 x (/.f64 y z))

simplify85.0ms (1.8%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
05551348

prune40.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New241135
Fresh101
Picked011
Done000
Total251237

Merged error: 0.0b

Counts
37 → 12
Compiler

Compiled 485 to 190 computations (60.8% 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)
1.5b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_15951
14×add-cbrt-cube_binary64_15949
12×add-sqr-sqrt_binary64_15937
add-cube-cbrt_binary64_15948 cbrt-prod_binary64_15944 prod-exp_binary64_15962 cbrt-unprod_binary64_15946 *-un-lft-identity_binary64_15916
pow1_binary64_15974
associate-*r*_binary64_15858
div-exp_binary64_15964 cbrt-undiv_binary64_15947 add-log-exp_binary64_15952
pow1/3_binary64_15995 associate-*l*_binary64_15859
times-frac_binary64_15922 unswap-sqr_binary64_15884
pow-prod-down_binary64_15984 associate-*r/_binary64_15860 *-commutative_binary64_15849 div-inv_binary64_15913
Counts
4 → 63
Calls

4 calls:

12.0ms
(*.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)

series640.0ms (13.2%)

Counts
4 → 12
Calls

4 calls:

166.0ms
(cbrt.f64 z)
162.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
160.0ms
(cbrt.f64 z)
153.0ms
(cbrt.f64 z)

simplify64.0ms (1.3%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04970832
14970832

prune75.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New73275
Fresh01010
Picked011
Done011
Total731487

Merged error: 0.0b

Counts
87 → 14
Compiler

Compiled 1809 to 522 computations (71.1% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.5b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_15951
14×add-cbrt-cube_binary64_15949
12×add-sqr-sqrt_binary64_15937
add-cube-cbrt_binary64_15948 cbrt-prod_binary64_15944 prod-exp_binary64_15962 cbrt-unprod_binary64_15946 *-un-lft-identity_binary64_15916
pow1_binary64_15974
associate-*r*_binary64_15858
div-exp_binary64_15964 cbrt-undiv_binary64_15947 add-log-exp_binary64_15952
pow1/3_binary64_15995 associate-*l*_binary64_15859
times-frac_binary64_15922 unswap-sqr_binary64_15884
pow-prod-down_binary64_15984 associate-*r/_binary64_15860 *-commutative_binary64_15849 div-inv_binary64_15913
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)

series590.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

154.0ms
(cbrt.f64 z)
149.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
147.0ms
(cbrt.f64 z)
140.0ms
(cbrt.f64 z)

simplify65.0ms (1.3%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04970832
14970832

prune88.0ms (1.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh01111
Picked011
Done022
Total751489

Merged error: 0.0b

Counts
89 → 14
Compiler

Compiled 2456 to 546 computations (77.8% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.5b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))))

rewrite40.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
46×add-exp-log_binary64_15951
25×prod-exp_binary64_15962 cbrt-unprod_binary64_15946
24×add-cbrt-cube_binary64_15949
11×add-sqr-sqrt_binary64_15937
add-cube-cbrt_binary64_15948 cbrt-prod_binary64_15944 *-un-lft-identity_binary64_15916
div-exp_binary64_15964 cbrt-undiv_binary64_15947
pow1_binary64_15974
associate-*r*_binary64_15858
add-log-exp_binary64_15952
pow1/3_binary64_15995 associate-*l*_binary64_15859
pow-prod-down_binary64_15984 times-frac_binary64_15922 associate-*r/_binary64_15860 *-commutative_binary64_15849 unswap-sqr_binary64_15884 div-inv_binary64_15913
Counts
4 → 70
Calls

4 calls:

26.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series617.0ms (12.7%)

Counts
4 → 12
Calls

4 calls:

161.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z))) (cbrt.f64 (cbrt.f64 z))))))
156.0ms
(cbrt.f64 z)
150.0ms
(cbrt.f64 z)
150.0ms
(cbrt.f64 z)

simplify98.0ms (2%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04862880
14862880

prune83.0ms (1.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh01010
Picked011
Done033
Total821496

Merged error: 0.0b

Counts
96 → 14
Compiler

Compiled 2181 to 573 computations (73.7% saved)

regimes150.0ms (3.1%)

Compiler

Compiled 1098 to 770 computations (29.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02858
12858

end0.0ms (0%)

sample855.0ms (17.6%)

Algorithm
intervals
Results
284.0ms8000×body128valid
58.0ms1536×body128invalid
Compiler

Compiled 317 to 196 computations (38.2% saved)

Profiling

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