Details

Time bar (total: 6.2s)

analyze1.4s (22.3%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514149
044
144
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
5.8%94%0.2%9
7.6%92.2%0.2%10
11.6%88.2%0.2%11
18.5%81.3%0.2%12
32.3%66.9%0.8%13
37%62.2%0.8%14
Symmetry

(sort x y)

Compiler

Compiled 10 to 9 computations (10% saved)

sample40.0ms (0.6%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
2.0ms38×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify235.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (227.0ms)

IterNodesCost
043677
143677

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.8b
Counts
2 → 2
Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.7b
(*.f64 x (/.f64 y z))

rewrite52.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64_16127
13×associate-*r*_binary64_16045
10×times-frac_binary64_16111
9×add-cube-cbrt_binary64_16140 *-un-lft-identity_binary64_16105
6×add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
3×pow1_binary64_16166 associate-*l*_binary64_16046
2×prod-exp_binary64_16154 cbrt-unprod_binary64_16138 unswap-sqr_binary64_16073
1×pow-prod-down_binary64_16176 div-exp_binary64_16156 add-log-exp_binary64_16144 cbrt-undiv_binary64_16139 associate-*r/_binary64_16047 div-inv_binary64_16102 *-commutative_binary64_16036
Counts
1 → 32
Calls

1 calls:

9.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 373 to 121 computations (67.6% saved)

series123.0ms (2%)

Error
0.1b
Counts
1 → 9
Calls

1 calls:

119.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 135 to 114 computations (15.6% saved)

simplify126.0ms (2%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
04985390
14985390

prune47.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New33841
Fresh101
Picked011
Done000
Total34943
Error
0.0b
Counts
43 → 9
Compiler

Compiled 457 to 155 computations (66.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
3.5b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite100.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
38×add-sqr-sqrt_binary64_16127
28×times-frac_binary64_16111
25×add-exp-log_binary64_16143
22×add-cube-cbrt_binary64_16140 *-un-lft-identity_binary64_16105 associate-*r*_binary64_16045
20×cbrt-prod_binary64_16136
18×add-cbrt-cube_binary64_16141
8×prod-exp_binary64_16154 cbrt-unprod_binary64_16138
7×div-exp_binary64_16156 cbrt-undiv_binary64_16139 associate-*l*_binary64_16046
6×pow1_binary64_16166 unswap-sqr_binary64_16073
4×add-log-exp_binary64_16144
3×pow1/3_binary64_16187
2×div-inv_binary64_16102
1×pow-prod-down_binary64_16176 frac-times_binary64_16115 associate-*l/_binary64_16048 associate-*r/_binary64_16047 *-commutative_binary64_16036
Counts
4 → 92
Calls

4 calls:

16.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 1799 to 346 computations (80.8% saved)

series420.0ms (6.8%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

147.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
102.0ms
(cbrt.f64 z)
85.0ms
(cbrt.f64 z)
77.0ms
(cbrt.f64 z)
Compiler

Compiled 552 to 425 computations (23% saved)

simplify83.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049761251
149761251

prune85.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh167
Picked011
Done011
Total1109119
Error
0.0b
Counts
119 → 9
Compiler

Compiled 1609 to 487 computations (69.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.4b
(/.f64 (*.f64 x y) z)

rewrite18.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
6×add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
3×add-cube-cbrt_binary64_16140 add-sqr-sqrt_binary64_16127 times-frac_binary64_16111 *-un-lft-identity_binary64_16105 associate-/r*_binary64_16049
2×div-exp_binary64_16156 cbrt-undiv_binary64_16139
1×pow1_binary64_16166 prod-exp_binary64_16154 add-log-exp_binary64_16144 cbrt-unprod_binary64_16138 frac-2neg_binary64_16116 clear-num_binary64_16104 div-inv_binary64_16102 associate-/l*_binary64_16050
Counts
1 → 21
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 214 to 75 computations (65% saved)

series101.0ms (1.6%)

Error
0.0b
Counts
1 → 9
Calls

1 calls:

97.0ms
(/.f64 (*.f64 x y) z)
Compiler

Compiled 135 to 114 computations (15.6% saved)

simplify145.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
04671261
14671261

prune22.0ms (0.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New29130
Fresh066
Picked011
Done022
Total291039
Error
0.0b
Counts
39 → 10
Compiler

Compiled 288 to 111 computations (61.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
3.8b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

rewrite94.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
25×add-exp-log_binary64_16143
22×associate-*r*_binary64_16045
20×add-cube-cbrt_binary64_16140 add-sqr-sqrt_binary64_16127 *-un-lft-identity_binary64_16105
18×add-cbrt-cube_binary64_16141 times-frac_binary64_16111 cbrt-prod_binary64_16136
13×pow1_binary64_16166
12×prod-exp_binary64_16154 cbrt-unprod_binary64_16138
6×pow-prod-down_binary64_16176
4×add-log-exp_binary64_16144
3×div-exp_binary64_16156 cbrt-undiv_binary64_16139 pow1/3_binary64_16187
1×associate-*r/_binary64_16047 associate-*l*_binary64_16046 div-inv_binary64_16102 *-commutative_binary64_16036
Counts
4 → 80
Calls

4 calls:

18.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1521 to 308 computations (79.8% saved)

series417.0ms (6.8%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

145.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
93.0ms
(cbrt.f64 y)
87.0ms
(cbrt.f64 y)
81.0ms
(cbrt.f64 y)
Compiler

Compiled 552 to 426 computations (22.8% saved)

simplify83.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04941918
14941918

prune60.0ms (1%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done033
Total9810108
Error
0.0b
Counts
108 → 10
Compiler

Compiled 1275 to 350 computations (72.5% saved)

regimes800.0ms (13%)

Accuracy

Total 2.9b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 3224 to 2401 computations (25.5% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify16.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03043
13043
Compiler

Compiled 58 to 36 computations (37.9% saved)

end0.0ms (0%)

sample1.7s (27.2%)

Algorithm
1×intervals
Results
354.0ms8000×body128valid
61.0ms1503×body128invalid
Compiler

Compiled 538 to 374 computations (30.5% saved)

Profiling

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