Details

Time bar (total: 6.0s)

analyze947.0ms (15.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0270070
1270070
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
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
Symmetry

sort(z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample25.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
012610
112610

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.9b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
2.8b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite49.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
2.8b
Rules
10×add-cube-cbrt_binary64_16822 add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
times-frac_binary64_16793
add-exp-log_binary64_16825 add-log-exp_binary64_16826 add-cbrt-cube_binary64_16823
associate-/l*_binary64_16732 associate-/r*_binary64_16731
pow1_binary64_16848 flip3--_binary64_16791 associate-/r/_binary64_16733 flip--_binary64_16762
div-exp_binary64_16838 cbrt-undiv_binary64_16821 frac-2neg_binary64_16798 clear-num_binary64_16786 div-inv_binary64_16784 diff-log_binary64_16879 sub-neg_binary64_16780 cancel-sign-sub-inv_binary64_16753
Counts
2 → 41
Calls

2 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 636 to 145 computations (77.2% saved)

series308.0ms (5.1%)

Error
2.8b
Counts
2 → 44
Calls

2 calls:

197.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
83.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 1382 to 974 computations (29.5% saved)

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049641203
149641203

prune65.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New77885
Fresh000
Picked011
Done000
Total77986
Error
2.8b
Counts
86 → 9
Compiler

Compiled 1082 to 264 computations (75.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
0.3b
(/.f64 1 (-.f64 y (*.f64 t z)))
2.6b
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))

rewrite87.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
2.8b
Rules
26×add-sqr-sqrt_binary64_16809
20×*-un-lft-identity_binary64_16787 times-frac_binary64_16793
19×add-cube-cbrt_binary64_16822
16×add-exp-log_binary64_16825
15×associate-*r*_binary64_16727
10×add-cbrt-cube_binary64_16823
pow1_binary64_16848
add-log-exp_binary64_16826
div-exp_binary64_16838 prod-exp_binary64_16836 associate-/r/_binary64_16733
unswap-sqr_binary64_16755 associate-*l*_binary64_16728 flip3--_binary64_16791 flip--_binary64_16762 associate-/l*_binary64_16732 associate-/r*_binary64_16731
1-exp_binary64_16831 rec-exp_binary64_16837 cbrt-unprod_binary64_16820 cbrt-undiv_binary64_16821 div-inv_binary64_16784
pow-prod-down_binary64_16858 un-div-inv_binary64_16785 associate-*r/_binary64_16729 *-commutative_binary64_16718 inv-pow_binary64_16872 pow-flip_binary64_16861 frac-2neg_binary64_16798 clear-num_binary64_16786 diff-log_binary64_16879 sub-neg_binary64_16780 cancel-sign-sub-inv_binary64_16753
Counts
3 → 83
Calls

3 calls:

10.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
5.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 1456 to 565 computations (61.2% saved)

series478.0ms (7.9%)

Error
2.8b
Counts
3 → 67
Calls

3 calls:

211.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
131.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
88.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2476 to 1862 computations (24.8% saved)

simplify83.0ms (1.4%)

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
055272121

prune96.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1500150
Fresh077
Picked011
Done011
Total1509159
Error
2.8b
Counts
159 → 9
Compiler

Compiled 2093 to 671 computations (67.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.1b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x)))
2.1b
(/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x))

rewrite133.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
2.8b
Rules
76×times-frac_binary64_16793
47×add-cube-cbrt_binary64_16822 add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
36×cbrt-prod_binary64_16818
28×associate-/r*_binary64_16731
18×add-exp-log_binary64_16825
11×add-cbrt-cube_binary64_16823
div-exp_binary64_16838 cbrt-undiv_binary64_16821
pow1_binary64_16848 add-log-exp_binary64_16826 div-inv_binary64_16784 associate-/l*_binary64_16732
frac-2neg_binary64_16798 clear-num_binary64_16786 associate-/l/_binary64_16734 prod-exp_binary64_16836 cbrt-unprod_binary64_16820 pow1/3_binary64_16869
div-sub_binary64_16792 flip3--_binary64_16791 flip--_binary64_16762 associate-/r/_binary64_16733
Counts
4 → 128
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x)))
6.0ms
(/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 3061 to 467 computations (84.7% saved)

series964.0ms (16%)

Error
2.8b
Counts
4 → 53
Calls

4 calls:

562.0ms
(/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x))
216.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x)))
77.0ms
(cbrt.f64 x)
69.0ms
(cbrt.f64 x)
Compiler

Compiled 2477 to 1744 computations (29.6% saved)

simplify81.0ms (1.3%)

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049343386
149343386

prune131.0ms (2.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1801181
Fresh156
Picked011
Done022
Total1819190
Error
2.8b
Counts
190 → 9
Compiler

Compiled 3446 to 770 computations (77.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
1.4b
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
2.7b
(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite121.0ms (2%)

Algorithm
rewrite-expression-head
Error
2.8b
Rules
84×times-frac_binary64_16793
53×add-cube-cbrt_binary64_16822 add-sqr-sqrt_binary64_16809 *-un-lft-identity_binary64_16787
16×add-exp-log_binary64_16825 associate-/r*_binary64_16731
10×add-cbrt-cube_binary64_16823
div-exp_binary64_16838
div-inv_binary64_16784 associate-/l*_binary64_16732
add-log-exp_binary64_16826
pow1_binary64_16848 cbrt-undiv_binary64_16821
frac-2neg_binary64_16798 clear-num_binary64_16786 flip3--_binary64_16791 associate-/l/_binary64_16734 flip--_binary64_16762 1-exp_binary64_16831 rec-exp_binary64_16837
div-sub_binary64_16792 inv-pow_binary64_16872 pow-flip_binary64_16861 associate-/r/_binary64_16733 diff-log_binary64_16879 sub-neg_binary64_16780 cancel-sign-sub-inv_binary64_16753
Counts
3 → 118
Calls

3 calls:

7.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
5.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2311 to 727 computations (68.5% saved)

series507.0ms (8.4%)

Error
2.8b
Counts
3 → 65
Calls

3 calls:

194.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
190.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
85.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 1986 to 1440 computations (27.5% saved)

simplify82.0ms (1.4%)

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049643063
149643063

prune109.0ms (1.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1821183
Fresh145
Picked011
Done033
Total1839192
Error
2.8b
Counts
192 → 9
Compiler

Compiled 2604 to 626 computations (76% saved)

regimes464.0ms (7.7%)

Accuracy

Total 0.1b remaining (2.8%)

Threshold costs 0.1b (2.8%)

Compiler

Compiled 4679 to 3190 computations (31.8% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
13510
Removed

((sort z t))

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.2s (19.5%)

Algorithm
intervals
Results
241.0ms8000×body128valid
10.0ms371×body128invalid
Compiler

Compiled 715 to 486 computations (32% saved)

Profiling

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