Details

Time bar (total: 5.4s)

analyze673.0ms (12.4%)

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms70×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify29.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
040010
140010

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2
Compiler

Compiled 39 to 37 computations (5.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.7b
(-.f64 (*.f64 x y) (*.f64 z y))
5.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r*_binary64
flip3--_binary64 distribute-rgt-out--_binary64 flip--_binary64 associate-*l/_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 cancel-sign-sub-inv_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 34
Calls

2 calls:

7.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

series194.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

128.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
66.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

simplify78.0ms (1.4%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04941477
14941477

prune139.0ms (2.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New31940
Fresh011
Picked011
Done000
Total311142

Merged error: 0.0b

Counts
42 → 11
Compiler

Compiled 2692 to 1493 computations (44.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
2.3b
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
5.2b
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite39.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
27×pow1_binary64 add-exp-log_binary64
19×add-cbrt-cube_binary64
16×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
associate-*r*_binary64
associate-*l/_binary64
add-log-exp_binary64 associate-*r/_binary64 associate-*l*_binary64
flip3--_binary64 pow1/3_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 74
Calls

4 calls:

17.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
13.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series805.0ms (14.9%)

Counts
4 → 12
Calls

4 calls:

309.0ms
(*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
190.0ms
(*.f64 (*.f64 y (*.f64 (-.f64 x z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))) (cbrt.f64 t))
154.0ms
(cbrt.f64 t)
152.0ms
(cbrt.f64 t)

simplify50.0ms (0.9%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05164966

prune128.0ms (2.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New82486
Fresh279
Picked101
Done011
Total851297

Merged error: 0.0b

Counts
97 → 12
Compiler

Compiled 2530 to 1209 computations (52.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
2.3b
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
3.2b
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite42.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64 add-exp-log_binary64
21×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-*r*_binary64
associate-*l/_binary64
add-log-exp_binary64 associate-*r/_binary64
flip3--_binary64 pow1/3_binary64 associate-*l*_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 78
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
13.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series801.0ms (14.8%)

Counts
4 → 12
Calls

4 calls:

300.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
189.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
165.0ms
(cbrt.f64 t)
146.0ms
(cbrt.f64 t)

simplify50.0ms (0.9%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049601011
149601011

prune138.0ms (2.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New87390
Fresh1910
Picked011
Done011
Total8814102

Merged error: 0.0b

Counts
102 → 14
Compiler

Compiled 2750 to 1320 computations (52% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
2.3b
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))) (cbrt.f64 t))
3.2b
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t)))))

rewrite75.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
78×pow1_binary64 add-exp-log_binary64
57×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
41×add-cbrt-cube_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
associate-*r*_binary64
associate-*l/_binary64
add-log-exp_binary64 associate-*r/_binary64
flip3--_binary64 pow1/3_binary64 associate-*l*_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 102
Calls

4 calls:

31.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))) (cbrt.f64 t))
24.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t)))))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series804.0ms (14.8%)

Counts
4 → 12
Calls

4 calls:

308.0ms
(*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t)))))
193.0ms
(*.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 (cbrt.f64 t) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 t)) (cbrt.f64 (cbrt.f64 t))) (cbrt.f64 (cbrt.f64 t))))) (cbrt.f64 t))
153.0ms
(cbrt.f64 t)
149.0ms
(cbrt.f64 t)

simplify67.0ms (1.2%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050911301

prune84.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh01111
Picked011
Done022
Total11414128

Merged error: 0.0b

Counts
128 → 14
Compiler

Compiled 1908 to 500 computations (73.8% saved)

regimes273.0ms (5%)

Compiler

Compiled 1522 to 1052 computations (30.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
058116
158116

end0.0ms (0%)

sample859.0ms (15.9%)

Algorithm
intervals
Results
269.0ms8000×body128valid
60.0ms1893×body128invalid
Compiler

Compiled 365 to 218 computations (40.3% saved)

Profiling

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