Details

Time bar (total: 1.7s)

analyze330.0ms (18.9%)

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (1.5%)

Algorithm
intervals
Results
12.0ms256×body80valid
2.0ms32×body80invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify46.0ms (2.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
030210
130210

prune11.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 x 1) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 associate-*l*_binary64
add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
difference-of-squares_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 35
Calls

2 calls:

7.0ms
(*.f64 (-.f64 x 1) z)
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))

series12.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
4.0ms
(*.f64 (-.f64 x 1) z)

simplify74.0ms (4.2%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05201473

prune23.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh011
Picked011
Done000
Total41243

Merged error: 0.0b

Counts
43 → 2
Compiler

Compiled 562 to 258 computations (54.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b
(*.f64 x (+.f64 y z))

rewrite13.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate--l+_binary64
pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 flip--_binary64 flip-+_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

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

series16.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(-.f64 (*.f64 x (+.f64 y z)) z)
7.0ms
(*.f64 x (+.f64 y z))

simplify82.0ms (4.7%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04827470
14827470

prune20.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked101
Done011
Total42244

Merged error: 0b

Counts
44 → 2
Compiler

Compiled 510 to 127 computations (75.1% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
3.7b
(cbrt.f64 (*.f64 x (+.f64 y z)))
3.7b
(cbrt.f64 (*.f64 x (+.f64 y z)))
3.7b
(cbrt.f64 (*.f64 x (+.f64 y z)))

rewrite24.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
20×associate-*r/_binary64
18×cbrt-div_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 swap-sqr_binary64 associate-*r*_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 72
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
5.0ms
(cbrt.f64 (*.f64 x (+.f64 y z)))
5.0ms
(cbrt.f64 (*.f64 x (+.f64 y z)))
4.0ms
(cbrt.f64 (*.f64 x (+.f64 y z)))

series120.0ms (6.9%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(*.f64 (cbrt.f64 (*.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
27.0ms
(cbrt.f64 (*.f64 x (+.f64 y z)))
26.0ms
(cbrt.f64 (*.f64 x (+.f64 y z)))
26.0ms
(cbrt.f64 (*.f64 x (+.f64 y z)))

simplify62.0ms (3.5%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051211183

prune51.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done011
Total84286

Merged error: 0b

Counts
86 → 2
Compiler

Compiled 2119 to 437 computations (79.4% saved)

regimes148.0ms (8.5%)

Compiler

Compiled 148 to 102 computations (31.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02313
12313

end0.0ms (0%)

sample647.0ms (37.1%)

Algorithm
intervals
Results
223.0ms8000×body80valid
18.0ms667×body80invalid
Compiler

Compiled 50 to 37 computations (26% saved)

Profiling

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