Details

Time bar (total: 5.3s)

analyze359.0ms (6.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049356
149356
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)

sample46.0ms (0.9%)

Algorithm
intervals
Results
15.0ms56×body1024valid
9.0ms149×body128valid
7.0ms38×body512valid
2.0ms13×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
015914
115914

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)

localize7.0ms (0.1%)

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))

rewrite57.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-sqr-sqrt_binary64_7261
pow1_binary64_7300 add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275 add-cube-cbrt_binary64_7274 *-un-lft-identity_binary64_7239
associate-*l*_binary64_7180 associate-*r*_binary64_7179
add-log-exp_binary64_7278
pow-prod-down_binary64_7310 prod-exp_binary64_7288 cbrt-unprod_binary64_7272 unswap-sqr_binary64_7207 *-commutative_binary64_7170
diff-log_binary64_7331 flip3--_binary64_7243 sub-neg_binary64_7232 flip--_binary64_7214 cancel-sign-sub-inv_binary64_7205
Counts
3 → 48
Calls

3 calls:

8.0ms
(*.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)))
Compiler

Compiled 741 to 179 computations (75.8% saved)

series365.0ms (6.9%)

Error
0.1b
Counts
3 → 32
Calls

3 calls:

208.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
72.0ms
(*.f64 x (cos.f64 y))
65.0ms
(*.f64 z (sin.f64 y))
Compiler

Compiled 760 to 489 computations (35.7% saved)

simplify67.0ms (1.3%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04937874
14937874

prune69.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New701080
Fresh000
Picked101
Done000
Total711081
Error
0.0b
Counts
81 → 10
Compiler

Compiled 1120 to 298 computations (73.4% 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)

rewrite73.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_7270
23×add-sqr-sqrt_binary64_7261
15×add-cube-cbrt_binary64_7274 *-un-lft-identity_binary64_7239
11×pow1_binary64_7300
pow1/3_binary64_7321
add-exp-log_binary64_7277 swap-sqr_binary64_7206 associate-*l*_binary64_7180 associate-*r*_binary64_7179
add-log-exp_binary64_7278 add-cbrt-cube_binary64_7275 unswap-sqr_binary64_7207
pow-prod-down_binary64_7310 pow-prod-up_binary64_7309 pow-sqr_binary64_7212
pow2_binary64_7320 pow-plus_binary64_7302 prod-exp_binary64_7288 cbrt-unprod_binary64_7272 *-commutative_binary64_7170
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)

series334.0ms (6.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

91.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
84.0ms
(cbrt.f64 z)
76.0ms
(cbrt.f64 z)
73.0ms
(cbrt.f64 z)
Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify77.0ms (1.5%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04873548
14873548

prune71.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh099
Picked011
Done000
Total851095
Error
0.0b
Counts
95 → 10
Compiler

Compiled 1731 to 471 computations (72.8% saved)

localize11.0ms (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))

rewrite80.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_7270
23×add-sqr-sqrt_binary64_7261
15×add-cube-cbrt_binary64_7274 *-un-lft-identity_binary64_7239
11×pow1_binary64_7300
pow1/3_binary64_7321
add-exp-log_binary64_7277 swap-sqr_binary64_7206 associate-*l*_binary64_7180 associate-*r*_binary64_7179
add-log-exp_binary64_7278 add-cbrt-cube_binary64_7275 unswap-sqr_binary64_7207
pow-prod-down_binary64_7310 pow-prod-up_binary64_7309 pow-sqr_binary64_7212
pow2_binary64_7320 pow-plus_binary64_7302 prod-exp_binary64_7288 cbrt-unprod_binary64_7272 *-commutative_binary64_7170
Counts
4 → 73
Calls

4 calls:

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

series308.0ms (5.9%)

Error
0.0b
Counts
4 → 16
Calls

4 calls:

82.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
75.0ms
(cbrt.f64 (sin.f64 y))
69.0ms
(cbrt.f64 (sin.f64 y))
67.0ms
(cbrt.f64 (sin.f64 y))
Compiler

Compiled 922 to 584 computations (36.7% saved)

simplify60.0ms (1.1%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04890770
14890770

prune77.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh088
Picked101
Done011
Total891099
Error
0.0b
Counts
99 → 10
Compiler

Compiled 1977 to 551 computations (72.1% saved)

localize11.0ms (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)

rewrite71.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_7270
23×add-sqr-sqrt_binary64_7261
15×add-cube-cbrt_binary64_7274 *-un-lft-identity_binary64_7239
11×pow1_binary64_7300
pow1/3_binary64_7321
add-exp-log_binary64_7277 swap-sqr_binary64_7206 associate-*l*_binary64_7180 associate-*r*_binary64_7179
add-log-exp_binary64_7278 add-cbrt-cube_binary64_7275 unswap-sqr_binary64_7207
pow-prod-down_binary64_7310 pow-prod-up_binary64_7309 pow-sqr_binary64_7212
pow2_binary64_7320 pow-plus_binary64_7302 prod-exp_binary64_7288 cbrt-unprod_binary64_7272 *-commutative_binary64_7170
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)

series325.0ms (6.2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

93.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
77.0ms
(cbrt.f64 x)
75.0ms
(cbrt.f64 x)
69.0ms
(cbrt.f64 x)
Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify76.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04873548
14873548

prune63.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh088
Picked011
Done011
Total821395
Error
0.0b
Counts
95 → 13
Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes350.0ms (6.7%)

Accuracy

Total 0.1b remaining (73.6%)

Threshold costs 0.1b (73.6%)

Compiler

Compiled 3220 to 2278 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714
Removed

()

end0.0ms (0%)

sample2.3s (43.2%)

Algorithm
intervals
Results
570.0ms1955×body1024valid
298.0ms4478×body128valid
203.0ms1042×body512valid
73.0ms517×body256valid
4.0msbody2048valid
Compiler

Compiled 818 to 581 computations (29% saved)

Profiling

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