Details

Time bar (total: 3.4s)

analyze769.0ms (22.7%)

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)

sample21.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms51×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify238.0ms (7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (231.0ms)

IterNodesCost
036737
136737

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.2b

Counts
2 → 2
Compiler

Compiled 33 to 34 computations (-3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.9b
(*.f64 x (/.f64 y z))

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
1 → 32
Calls

1 calls:

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

series42.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(*.f64 x (/.f64 y z))

simplify86.0ms (2.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05551348

prune146.0ms (4.3%)

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 2122 to 1401 computations (34% saved)

localize12.0ms (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)
1.9b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite23.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64
14×add-cbrt-cube_binary64
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64 cbrt-prod_binary64
pow1_binary64
associate-*r*_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
pow1/3_binary64 associate-*l*_binary64
unswap-sqr_binary64 times-frac_binary64
pow-prod-down_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64
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)

series629.0ms (18.5%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(cbrt.f64 z)
164.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
147.0ms
(cbrt.f64 z)
146.0ms
(cbrt.f64 z)

simplify67.0ms (2%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04987832
14987832

prune78.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New74175
Fresh099
Picked011
Done011
Total741286

Merged error: 0.0b

Counts
86 → 12
Compiler

Compiled 1884 to 601 computations (68.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 associate-/r*_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
1 → 21
Calls

1 calls:

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

series40.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(/.f64 (*.f64 x y) z)

simplify99.0ms (2.9%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04746219
14746219

prune47.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New22224
Fresh459
Picked011
Done022
Total261036

Merged error: 0b

Counts
36 → 10
Compiler

Compiled 629 to 407 computations (35.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.5b
(*.f64 (*.f64 x y) (/.f64 1 z))

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×add-exp-log_binary64
13×associate-*r*_binary64 add-cbrt-cube_binary64
prod-exp_binary64 times-frac_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
pow1_binary64 cbrt-unprod_binary64
pow-prod-down_binary64
cbrt-undiv_binary64 rec-exp_binary64 div-exp_binary64
add-log-exp_binary64 associate-*r/_binary64 associate-*l*_binary64 un-div-inv_binary64 div-inv_binary64 *-commutative_binary64
Counts
1 → 36
Calls

1 calls:

9.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

series42.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

simplify66.0ms (2%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05097363

prune20.0ms (0.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New39039
Fresh066
Picked011
Done033
Total391049

Merged error: 0b

Counts
49 → 10
Compiler

Compiled 363 to 133 computations (63.4% saved)

regimes110.0ms (3.2%)

Compiler

Compiled 511 to 470 computations (8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03066
13066

end0.0ms (0%)

sample805.0ms (23.7%)

Algorithm
intervals
Results
296.0ms8000×body128valid
55.0ms1569×body128invalid
Compiler

Compiled 211 to 140 computations (33.6% saved)

Profiling

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