Details

Time bar (total: 2.3s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
99.8%0%0.1%13
99.8%0%0.2%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify173.0ms (7.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0127
1127

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 841/108 x) 4/29)
0.1b
(*.f64 841/108 x)

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_11219
add-exp-log_binary64_11233 add-log-exp_binary64_11234 add-cbrt-cube_binary64_11231 add-cube-cbrt_binary64_11230 pow1_binary64_11256 *-un-lft-identity_binary64_11198
associate-*r*_binary64_11140 associate-*l*_binary64_11141
+-commutative_binary64_11130 prod-exp_binary64_11244 sum-log_binary64_11286 pow-prod-down_binary64_11266 flip3-+_binary64_11201 unswap-sqr_binary64_11166 cbrt-unprod_binary64_11228 flip-+_binary64_11172 *-commutative_binary64_11131
Counts
2 → 29
Calls

2 calls:

5.0ms
(+.f64 (*.f64 841/108 x) 4/29)
5.0ms
(*.f64 841/108 x)

series69.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(+.f64 (*.f64 841/108 x) 4/29)
26.0ms
(*.f64 841/108 x)

simplify106.0ms (4.7%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
05181275

prune35.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh000
Picked011
Done000
Total33336

Merged error: 0b

Counts
36 → 3
Compiler

Compiled 322 to 265 computations (17.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b
(*.f64 x (cbrt.f64 841/108))
0.3b
(*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b
(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite48.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64_11219
25×pow1_binary64_11256
20×add-exp-log_binary64_11233 cbrt-prod_binary64_11226
15×add-cube-cbrt_binary64_11230 *-un-lft-identity_binary64_11198
13×associate-*r*_binary64_11140
11×add-cbrt-cube_binary64_11231 pow-prod-down_binary64_11266
10×prod-exp_binary64_11244 associate-*l*_binary64_11141 cbrt-unprod_binary64_11228
swap-sqr_binary64_11165 add-log-exp_binary64_11234 pow1/3_binary64_11277 unswap-sqr_binary64_11166
*-commutative_binary64_11131
pow-prod-up_binary64_11265 pow-sqr_binary64_11171
+-commutative_binary64_11130 pow2_binary64_11276 pow-plus_binary64_11258 sum-log_binary64_11286 flip3-+_binary64_11201 flip-+_binary64_11172
Counts
4 → 95
Calls

4 calls:

13.0ms
(+.f64 (*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
12.0ms
(*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
7.0ms
(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))
5.0ms
(*.f64 x (cbrt.f64 841/108))

series273.0ms (12.1%)

Counts
4 → 10
Calls

4 calls:

117.0ms
(+.f64 (*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
108.0ms
(*.f64 (*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
48.0ms
(*.f64 x (cbrt.f64 841/108))
0.0ms
(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify87.0ms (3.9%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04862847
14862847

prune107.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0b

Counts
108 → 3
Compiler

Compiled 1367 to 1234 computations (9.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_11226
23×add-sqr-sqrt_binary64_11219
15×add-cube-cbrt_binary64_11230 *-un-lft-identity_binary64_11198
11×pow1_binary64_11256
pow1/3_binary64_11277
add-exp-log_binary64_11233 swap-sqr_binary64_11165 associate-*r*_binary64_11140 associate-*l*_binary64_11141
add-log-exp_binary64_11234 add-cbrt-cube_binary64_11231 unswap-sqr_binary64_11166
pow-prod-up_binary64_11265 pow-sqr_binary64_11171 pow-prod-down_binary64_11266
pow2_binary64_11276 prod-exp_binary64_11244 pow-plus_binary64_11258 cbrt-unprod_binary64_11228 *-commutative_binary64_11131
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series680.0ms (30.2%)

Counts
4 → 12
Calls

4 calls:

215.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
158.0ms
(cbrt.f64 x)
155.0ms
(cbrt.f64 x)
152.0ms
(cbrt.f64 x)

simplify88.0ms (3.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04957563
14957563

prune71.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked011
Done022
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1244 to 655 computations (47.3% saved)

regimes10.0ms (0.4%)

Compiler

Compiled 31 to 27 computations (12.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample432.0ms (19.2%)

Algorithm
intervals
Results
244.0ms7995×body128valid
0.0msbody1024valid
0.0msbody512valid
0.0msbody128invalid
Compiler

Compiled 44 to 41 computations (6.8% saved)

Profiling

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