Details

Time bar (total: 5.1s)

analyze248.0ms (4.9%)

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
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample55.0ms (1.1%)

Algorithm
intervals
Results
23.0ms65×body1024valid
13.0ms140×body128valid
7.0ms34×body512valid
2.0ms17×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify167.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
013914
113914

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_8186
*-un-lft-identity_binary64_8165 add-cbrt-cube_binary64_8198 pow1_binary64_8223 add-cube-cbrt_binary64_8197 add-exp-log_binary64_8200
associate-*l*_binary64_8108 associate-*r*_binary64_8107
add-log-exp_binary64_8201
pow-prod-down_binary64_8233 *-commutative_binary64_8098 prod-exp_binary64_8211 cbrt-unprod_binary64_8195 unswap-sqr_binary64_8133
diff-log_binary64_8254 sub-neg_binary64_8158 flip--_binary64_8140 flip3--_binary64_8169
Counts
3 → 47
Calls

3 calls:

5.0ms
(*.f64 x (cos.f64 y))
5.0ms
(*.f64 z (sin.f64 y))
4.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

series250.0ms (4.9%)

Counts
3 → 9
Calls

3 calls:

138.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
57.0ms
(*.f64 z (sin.f64 y))
54.0ms
(*.f64 x (cos.f64 y))

simplify74.0ms (1.4%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04911627
14911627

prune59.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.0b

Counts
57 → 9
Compiler

Compiled 919 to 255 computations (72.3% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.5b
(cbrt.f64 z)
0.5b
(cbrt.f64 z)
0.5b
(cbrt.f64 z)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_8193
23×add-sqr-sqrt_binary64_8186
15×*-un-lft-identity_binary64_8165 add-cube-cbrt_binary64_8197
11×pow1_binary64_8223
pow1/3_binary64_8244
associate-*l*_binary64_8108 swap-sqr_binary64_8132 associate-*r*_binary64_8107 add-exp-log_binary64_8200
add-cbrt-cube_binary64_8198 unswap-sqr_binary64_8133 add-log-exp_binary64_8201
pow-prod-down_binary64_8233 pow-prod-up_binary64_8232 pow-sqr_binary64_8138
*-commutative_binary64_8098 prod-exp_binary64_8211 pow2_binary64_8243 pow-plus_binary64_8225 cbrt-unprod_binary64_8195
Counts
4 → 73
Calls

4 calls:

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

series653.0ms (12.8%)

Counts
4 → 12
Calls

4 calls:

178.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
170.0ms
(cbrt.f64 z)
158.0ms
(cbrt.f64 z)
147.0ms
(cbrt.f64 z)

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04957563
14957563

prune80.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh088
Picked011
Done000
Total841094

Merged error: 0.0b

Counts
94 → 10
Compiler

Compiled 1770 to 498 computations (71.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_8193
23×add-sqr-sqrt_binary64_8186
15×*-un-lft-identity_binary64_8165 add-cube-cbrt_binary64_8197
11×pow1_binary64_8223
pow1/3_binary64_8244
associate-*l*_binary64_8108 swap-sqr_binary64_8132 associate-*r*_binary64_8107 add-exp-log_binary64_8200
add-cbrt-cube_binary64_8198 unswap-sqr_binary64_8133 add-log-exp_binary64_8201
pow-prod-down_binary64_8233 pow-prod-up_binary64_8232 pow-sqr_binary64_8138
*-commutative_binary64_8098 prod-exp_binary64_8211 pow2_binary64_8243 pow-plus_binary64_8225 cbrt-unprod_binary64_8195
Counts
4 → 73
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms
(cbrt.f64 (sin.f64 y))
2.0ms
(cbrt.f64 (sin.f64 y))
2.0ms
(cbrt.f64 (sin.f64 y))

series544.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

152.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
137.0ms
(cbrt.f64 (sin.f64 y))
133.0ms
(cbrt.f64 (sin.f64 y))
121.0ms
(cbrt.f64 (sin.f64 y))

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05041797

prune87.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh088
Picked101
Done101
Total86995

Merged error: 0.0b

Counts
95 → 9
Compiler

Compiled 1967 to 567 computations (71.2% saved)

localize14.0ms (0.3%)

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)

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_8193
23×add-sqr-sqrt_binary64_8186
15×*-un-lft-identity_binary64_8165 add-cube-cbrt_binary64_8197
11×pow1_binary64_8223
pow1/3_binary64_8244
associate-*l*_binary64_8108 swap-sqr_binary64_8132 associate-*r*_binary64_8107 add-exp-log_binary64_8200
add-cbrt-cube_binary64_8198 unswap-sqr_binary64_8133 add-log-exp_binary64_8201
pow-prod-down_binary64_8233 pow-prod-up_binary64_8232 pow-sqr_binary64_8138
*-commutative_binary64_8098 prod-exp_binary64_8211 pow2_binary64_8243 pow-plus_binary64_8225 cbrt-unprod_binary64_8195
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)

series610.0ms (12%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
151.0ms
(cbrt.f64 x)
150.0ms
(cbrt.f64 x)
140.0ms
(cbrt.f64 x)

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04957563
14957563

prune68.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84185
Fresh088
Picked101
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9
Compiler

Compiled 1584 to 394 computations (75.1% saved)

regimes89.0ms (1.7%)

Compiler

Compiled 760 to 466 computations (38.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04152
14152

end0.0ms (0%)

sample1.8s (34.8%)

Algorithm
intervals
Results
734.0ms2001×body1024valid
311.0ms4476×body128valid
227.0ms1012×body512valid
72.0ms508×body256valid
2.0msbody2048valid
Compiler

Compiled 226 to 131 computations (42% saved)

Profiling

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