Details

Time bar (total: 3.9s)

analyze272.0ms (6.9%)

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
31.2%68.6%0.1%6
43.7%56.2%0.1%7
59.3%40.6%0.1%8
59.3%40.6%0.1%9
68.6%31.2%0.1%10
78%21.8%0.1%11
78%21.8%0.1%12
83.5%16.4%0.1%13
88.5%11.3%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample37.0ms (0.9%)

Algorithm
intervals
Results
11.0ms43×body1024valid
11.0ms175×body128valid
5.0ms26×body512valid
2.0ms12×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify101.0ms (2.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
022714
122714

prune2.0ms (0.1%)

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)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
10×add-log-exp_binary64_4209
add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170
pow1_binary64_4231 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206 add-cube-cbrt_binary64_4205
associate-*l*_binary64_4111 associate-*r*_binary64_4110
diff-log_binary64_4262 sum-log_binary64_4261
flip3--_binary64_4174 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 flip-+_binary64_4144 associate--l+_binary64_4107 +-commutative_binary64_4100 flip3-+_binary64_4173 *-commutative_binary64_4101 cancel-sign-sub-inv_binary64_4136 pow-prod-down_binary64_4241 flip--_binary64_4145 distribute-lft-out_binary64_4121 sub-neg_binary64_4163 unswap-sqr_binary64_4138
Counts
3 → 44
Calls

3 calls:

7.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms
(*.f64 z (sin.f64 y))
3.0ms
(+.f64 x (cos.f64 y))

series101.0ms (2.5%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
30.0ms
(*.f64 z (sin.f64 y))
20.0ms
(+.f64 x (cos.f64 y))

simplify67.0ms (1.7%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05354660

prune49.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46753
Fresh000
Picked101
Done000
Total47754
Error
0.0b
Counts
54 → 7
Compiler

Compiled 866 to 242 computations (72.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
7.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))
7.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))
7.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite21.0ms (0.5%)

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:

8.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

series461.0ms (11.7%)

Counts
4 → 12
Calls

4 calls:

144.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
106.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
106.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
105.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify133.0ms (3.4%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
05256678

prune66.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh156
Picked011
Done000
Total69877
Error
0b
Counts
77 → 8
Compiler

Compiled 1776 to 407 computations (77.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 (sin.f64 y))
7.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))
7.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_4201
add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
pow1_binary64_4231 pow1/3_binary64_4252 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209
Counts
4 → 40
Calls

4 calls:

3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 z)

series368.0ms (9.3%)

Counts
4 → 12
Calls

4 calls:

109.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
106.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
80.0ms
(cbrt.f64 z)
73.0ms
(cbrt.f64 (sin.f64 y))

simplify57.0ms (1.4%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04933467
14933467

prune53.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh066
Picked011
Done011
Total52860
Error
0b
Counts
60 → 8
Compiler

Compiled 1507 to 337 computations (77.6% saved)

localize12.0ms (0.3%)

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)

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:

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

series353.0ms (9%)

Counts
4 → 12
Calls

4 calls:

101.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
91.0ms
(cbrt.f64 z)
83.0ms
(cbrt.f64 z)
77.0ms
(cbrt.f64 z)

simplify64.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04892563
14892563

prune67.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893
Error
0b
Counts
93 → 8
Compiler

Compiled 1584 to 394 computations (75.1% saved)

regimes132.0ms (3.3%)

Accuracy

Total 0.0b remaining (72.6%)

Threshold costs 0.0b (72.6%)

Compiler

Compiled 1320 to 854 computations (35.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714

end0.0ms (0%)

sample1.4s (36.5%)

Algorithm
intervals
Results
383.0ms5705×body128valid
349.0ms1303×body1024valid
132.0ms659×body512valid
43.0ms329×body256valid
2.0msbody2048valid
Compiler

Compiled 343 to 225 computations (34.4% saved)

Profiling

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