Details

Time bar (total: 3.5s)

analyze395.0ms (11.4%)

Algorithm
search
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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample16.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms10×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify109.0ms (3.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
012610
112610

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.7b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.7b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 times-frac_binary64_15770 *-un-lft-identity_binary64_15764
add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802 associate-/r*_binary64_15708 associate-/l*_binary64_15709
associate-/r/_binary64_15710
add-log-exp_binary64_15803 cbrt-undiv_binary64_15798 div-inv_binary64_15761 frac-2neg_binary64_15775 flip--_binary64_15739 clear-num_binary64_15763 flip3--_binary64_15768 pow1_binary64_15825 div-exp_binary64_15815
Counts
1 → 29
Calls

1 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

series50.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

simplify56.0ms (1.6%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04978511
14978511

prune36.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New26632
Fresh000
Picked011
Done000
Total26733

Merged error: 2.7b

Counts
33 → 7
Compiler

Compiled 550 to 162 computations (70.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
7.9b
(cbrt.f64 (-.f64 y (*.f64 z t)))
7.9b
(cbrt.f64 (-.f64 y (*.f64 z t)))
7.9b
(cbrt.f64 (-.f64 y (*.f64 z t)))

rewrite27.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64_15796
15×add-exp-log_binary64_15802
12×pow1_binary64_15825
add-sqr-sqrt_binary64_15786 pow-flip_binary64_15838 add-cube-cbrt_binary64_15799 flip--_binary64_15739 cbrt-prod_binary64_15795 *-un-lft-identity_binary64_15764 pow1/3_binary64_15846 flip3--_binary64_15768
associate-/r/_binary64_15710
add-cbrt-cube_binary64_15800
add-log-exp_binary64_15803 frac-times_binary64_15774 div-exp_binary64_15815
times-frac_binary64_15770 prod-exp_binary64_15813 associate-/l*_binary64_15709
associate-*l/_binary64_15707 cbrt-undiv_binary64_15798 pow-sqr_binary64_15737 associate-*r/_binary64_15706 rec-exp_binary64_15814 1-exp_binary64_15808 pow-prod-up_binary64_15834 pow-prod-down_binary64_15835
pow2_binary64_15845 inv-pow_binary64_15849 pow-plus_binary64_15827 div-inv_binary64_15761 cbrt-unprod_binary64_15797 frac-2neg_binary64_15775 associate-/r*_binary64_15708 clear-num_binary64_15763
Counts
4 → 82
Calls

4 calls:

11.0ms
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
3.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
2.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
2.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))

series548.0ms (15.8%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
128.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
125.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
124.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))

simplify71.0ms (2%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049951553
149951553

prune99.0ms (2.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done011
Total947101

Merged error: 2.7b

Counts
101 → 7
Compiler

Compiled 2808 to 753 computations (73.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.7b
(/.f64 x (-.f64 y (*.f64 z t)))
17.4b
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
17.4b
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
17.4b
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

rewrite28.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod_binary64_15795
36×times-frac_binary64_15770
33×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
associate-/r/_binary64_15710
add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
add-log-exp_binary64_15803 div-inv_binary64_15761 flip--_binary64_15739 flip3--_binary64_15768 pow1_binary64_15825
cbrt-div_binary64_15796 associate-/r*_binary64_15708 associate-/l*_binary64_15709 pow1/3_binary64_15846
cbrt-undiv_binary64_15798 frac-2neg_binary64_15775 clear-num_binary64_15763 div-exp_binary64_15815
Counts
4 → 101
Calls

4 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
4.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
4.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
4.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))

series462.0ms (13.3%)

Counts
4 → 12
Calls

4 calls:

150.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
137.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
126.0ms
(cbrt.f64 (/.f64 x (-.f64 y (*.f64 z t))))
49.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

simplify77.0ms (2.2%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
052952279

prune103.0ms (3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh044
Picked011
Done022
Total1137120

Merged error: 2.7b

Counts
120 → 7
Compiler

Compiled 3852 to 495 computations (87.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.1b
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
2.7b
(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64_15770
52×add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
16×associate-/r*_binary64_15708
15×add-exp-log_binary64_15802
add-cbrt-cube_binary64_15800
div-exp_binary64_15815
div-inv_binary64_15761 associate-/l*_binary64_15709
cbrt-undiv_binary64_15798
pow1_binary64_15825
add-log-exp_binary64_15803 frac-2neg_binary64_15775 associate-/l/_binary64_15711 clear-num_binary64_15763 rec-exp_binary64_15814 1-exp_binary64_15808
inv-pow_binary64_15849 pow-flip_binary64_15838 flip--_binary64_15739 div-sub_binary64_15769 flip3--_binary64_15768 associate-/r/_binary64_15710
Counts
2 → 106
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
5.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)

series162.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

109.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
53.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)

simplify81.0ms (2.3%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
059282210

prune76.0ms (2.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1111112
Fresh123
Picked011
Done033
Total1127119

Merged error: 2.7b

Counts
119 → 7
Compiler

Compiled 1839 to 434 computations (76.4% saved)

regimes233.0ms (6.7%)

Compiler

Compiled 2397 to 1538 computations (35.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
13510

end0.0ms (0%)

sample779.0ms (22.4%)

Algorithm
intervals
Results
232.0ms8000×body128valid
9.0ms347×body128invalid
Compiler

Compiled 389 to 250 computations (35.7% saved)

Profiling

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