Details

Time bar (total: 3.8s)

analyze394.0ms (10.3%)

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
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms44×body128invalid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify296.0ms (7.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (132.0ms)

IterNodesCost
0505916

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.9b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 z z) (+.f64 z 1))
14.5b
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))

rewrite29.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64_9749 add-cbrt-cube_binary64_9747
12×cbrt-unprod_binary64_9744 prod-exp_binary64_9760
pow1_binary64_9772
div-exp_binary64_9762 cbrt-undiv_binary64_9745
*-un-lft-identity_binary64_9711
add-sqr-sqrt_binary64_9733 associate-*r*_binary64_9651 associate-*r/_binary64_9653
pow-prod-down_binary64_9782 add-cube-cbrt_binary64_9746
flip-+_binary64_9685 associate-/r/_binary64_9657 add-log-exp_binary64_9750 flip3-+_binary64_9714
associate-/r*_binary64_9655 div-inv_binary64_9708 times-frac_binary64_9717 associate-*l*_binary64_9652 *-commutative_binary64_9642 unswap-sqr_binary64_9679 associate-/l*_binary64_9656 distribute-rgt-in_binary64_9661 distribute-lft-in_binary64_9660 frac-2neg_binary64_9722 distribute-lft-out_binary64_9662 clear-num_binary64_9710
Counts
2 → 51
Calls

2 calls:

12.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
10.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

series181.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

115.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
66.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))

simplify65.0ms (1.7%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04949858
14949858

prune123.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658

Merged error: 2.5b

Counts
58 → 6
Compiler

Compiled 2116 to 1318 computations (37.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
6.8b
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
8.9b
(/.f64 x (*.f64 z z))

rewrite37.0ms (1%)

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64_9711
34×add-sqr-sqrt_binary64_9733 times-frac_binary64_9717
31×add-exp-log_binary64_9749 add-cbrt-cube_binary64_9747
24×add-cube-cbrt_binary64_9746
18×associate-*r*_binary64_9651
10×div-exp_binary64_9762 cbrt-undiv_binary64_9745
cbrt-unprod_binary64_9744 prod-exp_binary64_9760
associate-*l*_binary64_9652 distribute-lft-out_binary64_9662
associate-/l*_binary64_9656
associate-/r*_binary64_9655 pow1_binary64_9772
div-inv_binary64_9708 unswap-sqr_binary64_9679 associate-/r/_binary64_9657
add-log-exp_binary64_9750
flip-+_binary64_9685 frac-2neg_binary64_9722 flip3-+_binary64_9714 clear-num_binary64_9710
associate-*l/_binary64_9654 frac-times_binary64_9721 *-commutative_binary64_9642 pow-prod-down_binary64_9782 associate-*r/_binary64_9653
Counts
3 → 107
Calls

3 calls:

16.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
6.0ms
(/.f64 y (+.f64 z 1))
5.0ms
(/.f64 x (*.f64 z z))

series190.0ms (5%)

Counts
3 → 9
Calls

3 calls:

103.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
52.0ms
(/.f64 y (+.f64 z 1))
34.0ms
(/.f64 x (*.f64 z z))

simplify85.0ms (2.2%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
051251776

prune189.0ms (4.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh134
Picked101
Done101
Total1148122

Merged error: 0.0b

Counts
122 → 8
Compiler

Compiled 3477 to 2085 computations (40% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_9742
23×add-sqr-sqrt_binary64_9733
15×*-un-lft-identity_binary64_9711 add-cube-cbrt_binary64_9746
11×pow1_binary64_9772
pow1/3_binary64_9793
add-exp-log_binary64_9749 associate-*r*_binary64_9651 associate-*l*_binary64_9652 swap-sqr_binary64_9678
unswap-sqr_binary64_9679 add-cbrt-cube_binary64_9747 add-log-exp_binary64_9750
pow-sqr_binary64_9684 pow-prod-up_binary64_9781 pow-prod-down_binary64_9782
pow2_binary64_9792 *-commutative_binary64_9642 cbrt-unprod_binary64_9744 pow-plus_binary64_9774 prod-exp_binary64_9760
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series602.0ms (15.7%)

Counts
4 → 12
Calls

4 calls:

164.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
148.0ms
(cbrt.f64 x)
145.0ms
(cbrt.f64 x)
145.0ms
(cbrt.f64 x)

simplify53.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05245563

prune89.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done000
Total85893

Merged error: 0.0b

Counts
93 → 8
Compiler

Compiled 1963 to 892 computations (54.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
0.5b
(*.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
2.8b
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite54.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
94×add-exp-log_binary64_9749
58×add-cbrt-cube_binary64_9747
48×*-un-lft-identity_binary64_9711
46×add-sqr-sqrt_binary64_9733 times-frac_binary64_9717
40×prod-exp_binary64_9760
34×add-cube-cbrt_binary64_9746
31×div-exp_binary64_9762
26×associate-*l*_binary64_9652
22×cbrt-unprod_binary64_9744
19×associate-*r*_binary64_9651
18×cbrt-undiv_binary64_9745
10×pow1_binary64_9772
distribute-lft-out_binary64_9662
frac-times_binary64_9721 associate-*r/_binary64_9653
rec-exp_binary64_9761 1-exp_binary64_9755
associate-/r*_binary64_9655 associate-*l/_binary64_9654 div-inv_binary64_9708 unswap-sqr_binary64_9679 pow-prod-down_binary64_9782 associate-/r/_binary64_9657
associate-/l*_binary64_9656 add-log-exp_binary64_9750
*-commutative_binary64_9642 flip-+_binary64_9685 flip3-+_binary64_9714
frac-2neg_binary64_9722 clear-num_binary64_9710
Counts
3 → 149
Calls

3 calls:

17.0ms
(*.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
16.0ms
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
6.0ms
(/.f64 y (+.f64 z 1))

series235.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

103.0ms
(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
81.0ms
(*.f64 (/.f64 1 z) (*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
51.0ms
(/.f64 y (+.f64 z 1))

simplify88.0ms (2.3%)

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049982588
149982588

prune230.0ms (6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1544158
Fresh336
Picked011
Done011
Total1579166

Merged error: 0b

Counts
166 → 9
Compiler

Compiled 4623 to 2590 computations (44% saved)

regimes57.0ms (1.5%)

Compiler

Compiled 432 to 330 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
11728

end0.0ms (0%)

sample748.0ms (19.6%)

Algorithm
intervals
Results
296.0ms8000×body128valid
54.0ms1522×body128invalid
Compiler

Compiled 198 to 146 computations (26.3% saved)

Profiling

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