Details

Time bar (total: 4.5s)

analyze256.0ms (5.8%)

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)

sample46.0ms (1%)

Algorithm
intervals
Results
18.0ms65×body1024valid
9.0ms132×body128valid
6.0ms31×body512valid
4.0ms28×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify99.0ms (2.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01214
11214

prune2.0ms (0%)

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)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.2b
(*.f64 x (cos.f64 y))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_4192
pow1_binary64_4231 add-exp-log_binary64_4208 *-un-lft-identity_binary64_4170 add-cbrt-cube_binary64_4206 add-cube-cbrt_binary64_4205
associate-*l*_binary64_4111 associate-*r*_binary64_4110
add-log-exp_binary64_4209
prod-exp_binary64_4219 cbrt-unprod_binary64_4203 *-commutative_binary64_4101 pow-prod-down_binary64_4241 unswap-sqr_binary64_4138
flip-+_binary64_4144 +-commutative_binary64_4100 flip3-+_binary64_4173 sum-log_binary64_4261
Counts
3 → 47
Calls

3 calls:

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

series126.0ms (2.8%)

Counts
3 → 9
Calls

3 calls:

68.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
29.0ms
(*.f64 x (cos.f64 y))
29.0ms
(*.f64 z (sin.f64 y))

simplify84.0ms (1.9%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05082619

prune54.0ms (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 877 to 250 computations (71.5% saved)

localize12.0ms (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))

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_4201
23×add-sqr-sqrt_binary64_4192
15×*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
11×pow1_binary64_4231
pow1/3_binary64_4252
swap-sqr_binary64_4137 associate-*l*_binary64_4111 add-exp-log_binary64_4208 associate-*r*_binary64_4110
add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 unswap-sqr_binary64_4138
pow-prod-up_binary64_4240 pow-prod-down_binary64_4241 pow-sqr_binary64_4143
pow-plus_binary64_4233 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow2_binary64_4251 *-commutative_binary64_4101
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))

series312.0ms (7%)

Counts
4 → 12
Calls

4 calls:

94.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
76.0ms
(cbrt.f64 (sin.f64 y))
73.0ms
(cbrt.f64 (sin.f64 y))
69.0ms
(cbrt.f64 (sin.f64 y))

simplify82.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04888797
14888797

prune89.0ms (2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh178
Picked101
Done000
Total811394

Merged error: 0.0b

Counts
94 → 13
Compiler

Compiled 2017 to 617 computations (69.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_4201
23×add-sqr-sqrt_binary64_4192
15×*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
11×pow1_binary64_4231
pow1/3_binary64_4252
swap-sqr_binary64_4137 associate-*l*_binary64_4111 add-exp-log_binary64_4208 associate-*r*_binary64_4110
add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 unswap-sqr_binary64_4138
pow-prod-up_binary64_4240 pow-prod-down_binary64_4241 pow-sqr_binary64_4143
pow-plus_binary64_4233 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow2_binary64_4251 *-commutative_binary64_4101
Counts
4 → 73
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series361.0ms (8.1%)

Counts
4 → 12
Calls

4 calls:

101.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
97.0ms
(cbrt.f64 x)
86.0ms
(cbrt.f64 x)
77.0ms
(cbrt.f64 x)

simplify61.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04892563
14892563

prune80.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh01212
Picked101
Done000
Total841498

Merged error: 0.0b

Counts
98 → 14
Compiler

Compiled 1838 to 566 computations (69.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_4231
10×add-sqr-sqrt_binary64_4192
pow1/3_binary64_4252
*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
cbrt-prod_binary64_4201
add-exp-log_binary64_4208
swap-sqr_binary64_4137 associate-*l*_binary64_4111 associate-*r*_binary64_4110 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209
pow-prod-up_binary64_4240 pow-prod-down_binary64_4241 pow-sqr_binary64_4143
pow-plus_binary64_4233 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow2_binary64_4251 *-commutative_binary64_4101 unswap-sqr_binary64_4138
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
3.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))

series436.0ms (9.8%)

Counts
4 → 12
Calls

4 calls:

133.0ms
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
106.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))
99.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))
98.0ms
(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify57.0ms (1.3%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05314719

prune55.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh01313
Picked011
Done000
Total701484

Merged error: 0.0b

Counts
84 → 14
Compiler

Compiled 1653 to 327 computations (80.2% saved)

regimes226.0ms (5.1%)

Compiler

Compiled 2116 to 1462 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
11214

end0.0ms (0%)

sample1.9s (42.9%)

Algorithm
intervals
Results
566.0ms2014×body1024valid
309.0ms4473×body128valid
213.0ms1035×body512valid
69.0ms474×body256valid
2.0msbody2048valid
Compiler

Compiled 542 to 377 computations (30.4% saved)

Profiling

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