Details

Time bar (total: 5.2s)

analyze340.0ms (6.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03456
13456
033
133
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
Symmetry
Compiler

Compiled 10 to 9 computations (10% saved)

sample51.0ms (1%)

Algorithm
intervals
Results
19.0ms56×body1024valid
9.0ms146×body128valid
8.0ms40×body512valid
2.0ms14×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01214
11214

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
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))
0.1b
(*.f64 x (cos.f64 y))

rewrite58.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-sqr-sqrt_binary64_3851
pow1_binary64_3890 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
associate-*l*_binary64_3770 associate-*r*_binary64_3769
add-log-exp_binary64_3868
pow-prod-down_binary64_3900 prod-exp_binary64_3878 cbrt-unprod_binary64_3862 unswap-sqr_binary64_3797 *-commutative_binary64_3760
sum-log_binary64_3920 flip3-+_binary64_3832 flip-+_binary64_3803 +-commutative_binary64_3759
Counts
3 → 47
Calls

3 calls:

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

Compiled 730 to 175 computations (76% saved)

series362.0ms (6.9%)

Error
0.1b
Counts
3 → 32
Calls

3 calls:

207.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
70.0ms
(*.f64 x (cos.f64 y))
68.0ms
(*.f64 z (sin.f64 y))
Compiler

Compiled 748 to 475 computations (36.5% saved)

simplify91.0ms (1.7%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04888852
14888852

prune67.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New681179
Fresh000
Picked101
Done000
Total691180
Error
0.0b
Counts
80 → 11
Compiler

Compiled 1123 to 307 computations (72.7% saved)

localize12.0ms (0.2%)

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))

rewrite79.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_3860
23×add-sqr-sqrt_binary64_3851
15×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
11×pow1_binary64_3890
pow1/3_binary64_3911
add-exp-log_binary64_3867 swap-sqr_binary64_3796 associate-*l*_binary64_3770 associate-*r*_binary64_3769
add-log-exp_binary64_3868 add-cbrt-cube_binary64_3865 unswap-sqr_binary64_3797
pow-prod-down_binary64_3900 pow-prod-up_binary64_3899 pow-sqr_binary64_3802
pow2_binary64_3910 pow-plus_binary64_3892 prod-exp_binary64_3878 cbrt-unprod_binary64_3862 *-commutative_binary64_3760
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))
Compiler

Compiled 1730 to 366 computations (78.8% saved)

series324.0ms (6.2%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

79.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
78.0ms
(cbrt.f64 (sin.f64 y))
77.0ms
(cbrt.f64 (sin.f64 y))
76.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 866 to 542 computations (37.4% saved)

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04831753
14831753

prune81.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh01010
Picked101
Done000
Total871299
Error
0.0b
Counts
99 → 12
Compiler

Compiled 2005 to 578 computations (71.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite67.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_3860
23×add-sqr-sqrt_binary64_3851
15×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
11×pow1_binary64_3890
pow1/3_binary64_3911
add-exp-log_binary64_3867 swap-sqr_binary64_3796 associate-*l*_binary64_3770 associate-*r*_binary64_3769
add-log-exp_binary64_3868 add-cbrt-cube_binary64_3865 unswap-sqr_binary64_3797
pow-prod-down_binary64_3900 pow-prod-up_binary64_3899 pow-sqr_binary64_3802
pow2_binary64_3910 pow-plus_binary64_3892 prod-exp_binary64_3878 cbrt-unprod_binary64_3862 *-commutative_binary64_3760
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1524 to 318 computations (79.1% saved)

series335.0ms (6.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

92.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
85.0ms
(cbrt.f64 z)
74.0ms
(cbrt.f64 z)
74.0ms
(cbrt.f64 z)
Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04873548
14873548

prune74.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh01111
Picked011
Done000
Total851297
Error
0.0b
Counts
97 → 12
Compiler

Compiled 1763 to 498 computations (71.8% saved)

localize12.0ms (0.2%)

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)

rewrite74.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_3860
23×add-sqr-sqrt_binary64_3851
15×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
11×pow1_binary64_3890
pow1/3_binary64_3911
add-exp-log_binary64_3867 swap-sqr_binary64_3796 associate-*l*_binary64_3770 associate-*r*_binary64_3769
add-log-exp_binary64_3868 add-cbrt-cube_binary64_3865 unswap-sqr_binary64_3797
pow-prod-down_binary64_3900 pow-prod-up_binary64_3899 pow-sqr_binary64_3802
pow2_binary64_3910 pow-plus_binary64_3892 prod-exp_binary64_3878 cbrt-unprod_binary64_3862 *-commutative_binary64_3760
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1524 to 318 computations (79.1% saved)

series321.0ms (6.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

87.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
76.0ms
(cbrt.f64 x)
76.0ms
(cbrt.f64 x)
71.0ms
(cbrt.f64 x)
Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify78.0ms (1.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04873548
14873548

prune64.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh1910
Picked101
Done011
Total851297
Error
0.0b
Counts
97 → 12
Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes327.0ms (6.3%)

Accuracy

Total 0.1b remaining (75.4%)

Threshold costs 0.1b (75.4%)

Compiler

Compiled 2996 to 2106 computations (29.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
11214
Removed

()

end0.0ms (0%)

sample2.2s (42.6%)

Algorithm
intervals
Results
551.0ms1955×body1024valid
311.0ms4507×body128valid
200.0ms1031×body512valid
72.0ms501×body256valid
3.0msbody2048valid
Compiler

Compiled 762 to 538 computations (29.4% saved)

Profiling

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