Details

Time bar (total: 4.2s)

analyze45.0ms (1.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%50%50%2
0%50%50%3
25%25%50%4
25%25%50%5
31.2%18.7%50%6
34.3%15.6%50%7
39%10.9%50%8
40.6%8.6%50.8%9
42.9%5.9%51.2%10
43.7%4.5%51.8%11
44.9%3%52.1%12
45.3%2.3%52.4%13
45.9%1.5%52.6%14
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 29 to 29 computations (0% saved)

simplify182.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
048718
148718

prune7.0ms (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 38 to 35 computations (7.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.2b
(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b
(*.f64 3 (sqrt.f64 x))
0.4b
(/.f64 1 (*.f64 x 9))

rewrite29.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_4156
18×add-sqr-sqrt_binary64_4142
16×add-cbrt-cube_binary64_4154
15×*-un-lft-identity_binary64_4121
11×add-cube-cbrt_binary64_4153
pow1_binary64_4179
div-exp_binary64_4169 associate-*r*_binary64_4063 add-log-exp_binary64_4157 times-frac_binary64_4127 associate-/l*_binary64_4068
prod-exp_binary64_4167
sqrt-prod_binary64_4136 cbrt-undiv_binary64_4152
cbrt-unprod_binary64_4151 associate-*l*_binary64_4064 div-inv_binary64_4118
1-exp_binary64_4162 difference-of-squares_binary64_4090 associate-/r*_binary64_4067 unswap-sqr_binary64_4089 frac-2neg_binary64_4132 distribute-lft-out--_binary64_4075 pow-prod-down_binary64_4189 rec-exp_binary64_4168 clear-num_binary64_4120 pow-flip_binary64_4192
flip--_binary64_4096 diff-log_binary64_4210 sub-neg_binary64_4114 *-commutative_binary64_4054 flip3--_binary64_4125 inv-pow_binary64_4203
Counts
4 → 86
Calls

4 calls:

6.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
6.0ms
(*.f64 3 (sqrt.f64 x))
6.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms
(/.f64 1 (*.f64 x 9))

series502.0ms (11.8%)

Counts
4 → 12
Calls

4 calls:

366.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
85.0ms
(/.f64 y (*.f64 3 (sqrt.f64 x)))
29.0ms
(*.f64 3 (sqrt.f64 x))
22.0ms
(/.f64 1 (*.f64 x 9))

simplify37.0ms (0.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05034982

prune127.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New89998
Fresh101
Picked101
Done000
Total919100

Merged error: 0.0b

Counts
100 → 9
Compiler

Compiled 1842 to 1339 computations (27.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 y (sqrt.f64 x))
0.2b
(/.f64 3 (/.f64 y (sqrt.f64 x)))
0.4b
(/.f64 1 (*.f64 x 9))
0.6b
(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))

rewrite119.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
852×times-frac_binary64_4127
416×add-sqr-sqrt_binary64_4142 add-cube-cbrt_binary64_4153 *-un-lft-identity_binary64_4121
156×sqrt-prod_binary64_4136
100×associate-/r*_binary64_4067
43×add-exp-log_binary64_4156
25×add-cbrt-cube_binary64_4154
24×div-inv_binary64_4118
23×div-exp_binary64_4169
12×cbrt-undiv_binary64_4152 associate-/l*_binary64_4068
pow1_binary64_4179
associate-/r/_binary64_4069
1-exp_binary64_4162 rec-exp_binary64_4168
add-log-exp_binary64_4157 frac-2neg_binary64_4132 clear-num_binary64_4120
prod-exp_binary64_4167 pow-flip_binary64_4192
inv-pow_binary64_4203
cbrt-unprod_binary64_4151 pow-prod-down_binary64_4189
Counts
4 → 485
Calls

4 calls:

21.0ms
(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
9.0ms
(/.f64 3 (/.f64 y (sqrt.f64 x)))
5.0ms
(/.f64 1 (*.f64 x 9))
5.0ms
(/.f64 y (sqrt.f64 x))

series250.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

83.0ms
(/.f64 3 (/.f64 y (sqrt.f64 x)))
81.0ms
(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
61.0ms
(/.f64 y (sqrt.f64 x))
23.0ms
(/.f64 1 (*.f64 x 9))

simplify178.0ms (4.2%)

Algorithm
egg-herbie
Counts
497 → 497
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0492611028
1492611028

prune870.0ms (20.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4943497
Fresh358
Picked101
Done000
Total4988506

Merged error: 0.0b

Counts
506 → 8
Compiler

Compiled 12657 to 7709 computations (39.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.2b
(/.f64 y (sqrt.f64 x))
0.3b
(/.f64 (/.f64 y (sqrt.f64 x)) 3)
0.4b
(/.f64 1 (*.f64 x 9))

rewrite46.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
159×times-frac_binary64_4127
100×*-un-lft-identity_binary64_4121
99×add-sqr-sqrt_binary64_4142
96×add-cube-cbrt_binary64_4153
48×sqrt-prod_binary64_4136
28×associate-/l*_binary64_4068
22×add-exp-log_binary64_4156
16×add-cbrt-cube_binary64_4154
10×associate-/r*_binary64_4067
div-exp_binary64_4169 div-inv_binary64_4118
pow1_binary64_4179
cbrt-undiv_binary64_4152 add-log-exp_binary64_4157
prod-exp_binary64_4167 frac-2neg_binary64_4132 clear-num_binary64_4120
1-exp_binary64_4162 difference-of-squares_binary64_4090 distribute-lft-out--_binary64_4075 rec-exp_binary64_4168 pow-flip_binary64_4192
cbrt-unprod_binary64_4151 associate-/l/_binary64_4070 flip--_binary64_4096 diff-log_binary64_4210 sub-neg_binary64_4114 flip3--_binary64_4125 pow-prod-down_binary64_4189 inv-pow_binary64_4203
Counts
4 → 188
Calls

4 calls:

10.0ms
(/.f64 (/.f64 y (sqrt.f64 x)) 3)
6.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
5.0ms
(/.f64 1 (*.f64 x 9))
4.0ms
(/.f64 y (sqrt.f64 x))

series208.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

84.0ms
(/.f64 (/.f64 y (sqrt.f64 x)) 3)
64.0ms
(/.f64 y (sqrt.f64 x))
35.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
24.0ms
(/.f64 1 (*.f64 x 9))

simplify88.0ms (2.1%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049943250
149943250

prune247.0ms (5.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh077
Picked011
Done000
Total2008208

Merged error: 0.0b

Counts
208 → 8
Compiler

Compiled 4691 to 2944 computations (37.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (*.f64 x 9)))
0.2b
(/.f64 y (sqrt.f64 x))
0.3b
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
0.4b
(/.f64 1 (*.f64 x 9))

rewrite37.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt_binary64_4142
41×times-frac_binary64_4127
39×*-un-lft-identity_binary64_4121
35×add-cube-cbrt_binary64_4153
22×sqrt-prod_binary64_4136 associate-*r*_binary64_4063 add-exp-log_binary64_4156
16×add-cbrt-cube_binary64_4154
pow1_binary64_4179
associate-/r*_binary64_4067
div-exp_binary64_4169 add-log-exp_binary64_4157 associate-/l*_binary64_4068
prod-exp_binary64_4167
div-inv_binary64_4118 cbrt-undiv_binary64_4152
cbrt-unprod_binary64_4151 associate-*l*_binary64_4064 unswap-sqr_binary64_4089
1-exp_binary64_4162 difference-of-squares_binary64_4090 frac-2neg_binary64_4132 distribute-lft-out--_binary64_4075 pow-prod-down_binary64_4189 rec-exp_binary64_4168 clear-num_binary64_4120 pow-flip_binary64_4192
flip--_binary64_4096 diff-log_binary64_4210 sub-neg_binary64_4114 *-commutative_binary64_4054 flip3--_binary64_4125 inv-pow_binary64_4203 associate-*r/_binary64_4065
Counts
4 → 124
Calls

4 calls:

10.0ms
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
7.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
5.0ms
(/.f64 1 (*.f64 x 9))
4.0ms
(/.f64 y (sqrt.f64 x))

series219.0ms (5.2%)

Counts
4 → 12
Calls

4 calls:

82.0ms
(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
69.0ms
(/.f64 y (sqrt.f64 x))
41.0ms
(-.f64 1 (/.f64 1 (*.f64 x 9)))
26.0ms
(/.f64 1 (*.f64 x 9))

simplify96.0ms (2.3%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
048511545
148511545

prune132.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh066
Picked011
Done011
Total1368144

Merged error: 0.0b

Counts
144 → 8
Compiler

Compiled 2528 to 1504 computations (40.5% saved)

regimes36.0ms (0.8%)

Compiler

Compiled 250 to 236 computations (5.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06721
16721

end0.0ms (0%)

sample718.0ms (16.9%)

Algorithm
intervals
Results
368.0ms8000×body128valid
4.0ms83×body128invalid
Compiler

Compiled 166 to 156 computations (6% saved)

Profiling

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