Details

Time bar (total: 9.5s)

analyze1.4s (15.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171154
1171154
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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
14%83.4%2.5%11
18.7%78.2%3.1%12
28.1%65.5%6.4%13
30.7%59.4%9.9%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample63.0ms (0.7%)

Algorithm
intervals
Results
19.0ms256×body128valid
15.0ms215×body128invalid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04922
14922

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
33.6b
Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

20.4b
(/.f64 (*.f64 x x) (*.f64 y y))
20.9b
(/.f64 (*.f64 z z) (*.f64 t t))

rewrite101.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
3.4b
Rules
26×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
prod-exp_binary64_18200 div-exp_binary64_18202 cbrt-undiv_binary64_18185 cbrt-unprod_binary64_18184
pow1_binary64_18212 add-log-exp_binary64_18190 add-cube-cbrt_binary64_18186 add-sqr-sqrt_binary64_18173 frac-2neg_binary64_18162 times-frac_binary64_18157 *-un-lft-identity_binary64_18151 clear-num_binary64_18150 div-inv_binary64_18148 associate-/l*_binary64_18096 associate-/r*_binary64_18095
Counts
2 → 42
Calls

2 calls:

17.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
7.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Compiler

Compiled 918 to 174 computations (81% saved)

series206.0ms (2.2%)

Error
33.6b
Counts
2 → 12
Calls

2 calls:

107.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
91.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 540 to 394 computations (27% saved)

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05115506

prune75.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New441054
Fresh000
Picked101
Done000
Total451055
Error
3.3b
Counts
55 → 10
Compiler

Compiled 1035 to 282 computations (72.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (/.f64 z t) (/.f64 z t))
20.4b
(/.f64 (*.f64 x x) (*.f64 y y))

rewrite131.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
42×add-sqr-sqrt_binary64_18173
41×times-frac_binary64_18157
30×add-cube-cbrt_binary64_18186 *-un-lft-identity_binary64_18151
26×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
13×swap-sqr_binary64_18118 associate-*l*_binary64_18092 associate-*r*_binary64_18091
pow1_binary64_18212
prod-exp_binary64_18200 div-exp_binary64_18202 cbrt-undiv_binary64_18185 cbrt-unprod_binary64_18184
div-inv_binary64_18148
unswap-sqr_binary64_18119
add-log-exp_binary64_18190
frac-2neg_binary64_18162 clear-num_binary64_18150 associate-/l*_binary64_18096 associate-/r*_binary64_18095 pow2_binary64_18232 pow-prod-down_binary64_18222 pow-prod-up_binary64_18221 pow-plus_binary64_18214 frac-times_binary64_18161 pow-sqr_binary64_18124 associate-*l/_binary64_18094 associate-*r/_binary64_18093 *-commutative_binary64_18082
Counts
2 → 88
Calls

2 calls:

12.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
6.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 2054 to 381 computations (81.5% saved)

series247.0ms (2.6%)

Error
3.3b
Counts
2 → 12
Calls

2 calls:

132.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
104.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 540 to 381 computations (29.4% saved)

simplify82.0ms (0.9%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04975977
14975977

prune115.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New928100
Fresh549
Picked101
Done000
Total9812110
Error
0.1b
Counts
110 → 12
Compiler

Compiled 1961 to 534 computations (72.8% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (/.f64 z t) (/.f64 z t))
0.3b
(*.f64 (/.f64 x y) (/.f64 x y))

rewrite200.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
82×add-sqr-sqrt_binary64_18173
80×times-frac_binary64_18157
58×add-cube-cbrt_binary64_18186 *-un-lft-identity_binary64_18151
26×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 swap-sqr_binary64_18118 associate-*l*_binary64_18092 associate-*r*_binary64_18091
16×pow1_binary64_18212
div-exp_binary64_18202 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 cbrt-undiv_binary64_18185 unswap-sqr_binary64_18119 div-inv_binary64_18148
pow2_binary64_18232 pow-prod-down_binary64_18222 pow-prod-up_binary64_18221 pow-plus_binary64_18214 add-log-exp_binary64_18190 frac-times_binary64_18161 pow-sqr_binary64_18124 associate-*l/_binary64_18094 associate-*r/_binary64_18093 *-commutative_binary64_18082
Counts
2 → 134
Calls

2 calls:

14.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
12.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
Compiler

Compiled 3190 to 587 computations (81.6% saved)

series197.0ms (2.1%)

Error
0.1b
Counts
2 → 12
Calls

2 calls:

97.0ms
(*.f64 (/.f64 x y) (/.f64 x y))
88.0ms
(*.f64 (/.f64 z t) (/.f64 z t))
Compiler

Compiled 540 to 368 computations (31.9% saved)

simplify93.0ms (1%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
050601638

prune165.0ms (1.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New13511146
Fresh3811
Picked101
Done000
Total13919158
Error
0.0b
Counts
158 → 19
Compiler

Compiled 3099 to 840 computations (72.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)
0.7b
(cbrt.f64 x)

rewrite105.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_18182
23×add-sqr-sqrt_binary64_18173
15×add-cube-cbrt_binary64_18186 *-un-lft-identity_binary64_18151
11×pow1_binary64_18212
pow1/3_binary64_18233
add-exp-log_binary64_18189 swap-sqr_binary64_18118 associate-*l*_binary64_18092 associate-*r*_binary64_18091
add-log-exp_binary64_18190 add-cbrt-cube_binary64_18187 unswap-sqr_binary64_18119
pow-prod-down_binary64_18222 pow-prod-up_binary64_18221 pow-sqr_binary64_18124
pow2_binary64_18232 pow-plus_binary64_18214 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 *-commutative_binary64_18082
Counts
4 → 73
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
Compiler

Compiled 1962 to 379 computations (80.7% saved)

series387.0ms (4.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

100.0ms
(cbrt.f64 x)
99.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms
(cbrt.f64 x)
83.0ms
(cbrt.f64 x)
Compiler

Compiled 879 to 509 computations (42.1% saved)

simplify122.0ms (1.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
04873548
14873548

prune70.0ms (0.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh01818
Picked011
Done000
Total8519104
Error
0.0b
Counts
104 → 19
Compiler

Compiled 2083 to 431 computations (79.3% saved)

regimes2.4s (25.2%)

Accuracy

Total 0.4b remaining (97.5%)

Threshold costs 0.4b (97.5%)

Compiler

Compiled 28721 to 17874 computations (37.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01219
11219

end0.0ms (0%)

sample3.2s (33.5%)

Algorithm
intervals
Results
432.0ms8000×body128valid
331.0ms5767×body128invalid
Compiler

Compiled 2270 to 1411 computations (37.8% saved)

Profiling

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