Details

Time bar (total: 5.7s)

analyze1.1s (20%)

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
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample24.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms70×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify152.0ms (2.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
071913
171913

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b
(*.f64 y (-.f64 z t))
7.1b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite26.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_8625
15×*-un-lft-identity_binary64_8603
13×cancel-sign-sub-inv_binary64_8569
11×add-cube-cbrt_binary64_8638
10×add-exp-log_binary64_8641 add-cbrt-cube_binary64_8639
times-frac_binary64_8609
add-log-exp_binary64_8642 associate-*r*_binary64_8543 pow1_binary64_8664
distribute-lft-in_binary64_8552 distribute-rgt-in_binary64_8553 associate-*r/_binary64_8545
flip3--_binary64_8607 associate-*l*_binary64_8544 associate-/r*_binary64_8547 flip--_binary64_8578 sub-neg_binary64_8596
div-exp_binary64_8654 difference-of-squares_binary64_8572 cbrt-unprod_binary64_8636 distribute-lft-out--_binary64_8555 associate-/l/_binary64_8550 cbrt-undiv_binary64_8637 div-inv_binary64_8600 prod-exp_binary64_8652
associate-/l*_binary64_8548 clear-num_binary64_8602 diff-log_binary64_8695 *-commutative_binary64_8534 frac-2neg_binary64_8614 pow-prod-down_binary64_8674 unswap-sqr_binary64_8571
Counts
3 → 73
Calls

3 calls:

8.0ms
(*.f64 y (-.f64 z t))
8.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
6.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series151.0ms (2.7%)

Counts
3 → 9
Calls

3 calls:

61.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
57.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
34.0ms
(*.f64 y (-.f64 z t))

simplify37.0ms (0.6%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052101067

prune64.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76682
Fresh000
Picked011
Done000
Total76783

Merged error: 0b

Counts
83 → 7
Compiler

Compiled 1191 to 306 computations (74.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b
(/.f64 a (-.f64 z t))
4.9b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite70.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64_8609
179×add-sqr-sqrt_binary64_8625
172×*-un-lft-identity_binary64_8603
120×add-cube-cbrt_binary64_8638
68×cancel-sign-sub-inv_binary64_8569
28×difference-of-squares_binary64_8572
26×distribute-lft-out--_binary64_8555 associate-/r*_binary64_8547
18×associate-/r/_binary64_8549
10×add-exp-log_binary64_8641 div-inv_binary64_8600 add-cbrt-cube_binary64_8639
flip3--_binary64_8607 flip--_binary64_8578
associate-/l*_binary64_8548
add-log-exp_binary64_8642
div-exp_binary64_8654 cbrt-undiv_binary64_8637
pow1_binary64_8664
clear-num_binary64_8602 frac-2neg_binary64_8614
diff-log_binary64_8695 sub-neg_binary64_8596
Counts
3 → 222
Calls

3 calls:

31.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
10.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms
(/.f64 a (-.f64 z t))

series155.0ms (2.7%)

Counts
3 → 9
Calls

3 calls:

64.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
60.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
31.0ms
(/.f64 a (-.f64 z t))

simplify93.0ms (1.6%)

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050244825

prune149.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2292231
Fresh415
Picked011
Done011
Total2335238

Merged error: 0b

Counts
238 → 5
Compiler

Compiled 4046 to 697 computations (82.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t))))
0.0b
(/.f64 1 (-.f64 z t))
6.1b
(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))

rewrite235.0ms (4.1%)

Algorithm
rewrite-expression-head
Rules
1366×times-frac_binary64_8609
753×add-sqr-sqrt_binary64_8625
732×*-un-lft-identity_binary64_8603
558×add-cube-cbrt_binary64_8638
278×cancel-sign-sub-inv_binary64_8569
92×difference-of-squares_binary64_8572
86×distribute-lft-out--_binary64_8555
73×div-inv_binary64_8600
58×associate-/r/_binary64_8549
29×add-exp-log_binary64_8641 flip3--_binary64_8607 flip--_binary64_8578
26×associate-/r*_binary64_8547
18×div-exp_binary64_8654
17×add-cbrt-cube_binary64_8639
16×associate-/l*_binary64_8548
cbrt-undiv_binary64_8637
add-log-exp_binary64_8642
pow1_binary64_8664
1-exp_binary64_8647 rec-exp_binary64_8653
clear-num_binary64_8602 frac-2neg_binary64_8614
associate-/l/_binary64_8550 diff-log_binary64_8695 inv-pow_binary64_8688 sub-neg_binary64_8596 pow-flip_binary64_8677
Counts
3 → 669
Calls

3 calls:

97.0ms
(-.f64 x (/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t))))
17.0ms
(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))
6.0ms
(/.f64 1 (-.f64 z t))

series142.0ms (2.5%)

Counts
3 → 9
Calls

3 calls:

65.0ms
(/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t)))
56.0ms
(-.f64 x (/.f64 (/.f64 y a) (/.f64 1 (-.f64 z t))))
20.0ms
(/.f64 1 (-.f64 z t))

simplify209.0ms (3.7%)

Algorithm
egg-herbie
Counts
678 → 678
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0504120992

prune578.0ms (10.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6780678
Fresh022
Picked011
Done022
Total6785683

Merged error: 0b

Counts
683 → 5
Compiler

Compiled 15517 to 4067 computations (73.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
4.9b
(/.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 a) (-.f64 z t)))

rewrite75.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
603×times-frac_binary64_8609
313×add-sqr-sqrt_binary64_8625 *-un-lft-identity_binary64_8603
217×add-cube-cbrt_binary64_8638
129×cbrt-prod_binary64_8634
48×difference-of-squares_binary64_8572 distribute-lft-out--_binary64_8555
46×div-inv_binary64_8600
36×associate-/r*_binary64_8547
25×add-exp-log_binary64_8641
18×add-cbrt-cube_binary64_8639
17×associate-/r/_binary64_8549
13×div-exp_binary64_8654 cbrt-undiv_binary64_8637
flip3--_binary64_8607 flip--_binary64_8578
associate-/l*_binary64_8548
add-log-exp_binary64_8642 pow1_binary64_8664
pow1/3_binary64_8685
cbrt-unprod_binary64_8636 prod-exp_binary64_8652
clear-num_binary64_8602 associate-/l/_binary64_8550 frac-2neg_binary64_8614
Counts
4 → 352
Calls

4 calls:

22.0ms
(/.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 a) (-.f64 z t)))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series407.0ms (7.2%)

Counts
4 → 12
Calls

4 calls:

133.0ms
(/.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 a) (-.f64 z t)))
94.0ms
(cbrt.f64 a)
93.0ms
(cbrt.f64 a)
87.0ms
(cbrt.f64 a)

simplify159.0ms (2.8%)

Algorithm
egg-herbie
Counts
364 → 364
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
0498011775
1498011775

prune379.0ms (6.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3640364
Fresh011
Picked011
Done033
Total3645369

Merged error: 0b

Counts
369 → 5
Compiler

Compiled 9402 to 2935 computations (68.8% saved)

regimes344.0ms (6.1%)

Compiler

Compiled 2094 to 1708 computations (18.4% saved)

bsearch45.0ms (0.8%)

Steps
ItersRangePoint
9
1.3318139899633907e-93
9.029838293470712e-88
8.553477845118152e-88
8
-1.0946392819928604e+38
-1.470861423964803e+34
-1.2171112922493264e+37
Compiler

Compiled 1 to 5 computations (-400% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
023851
123851

end0.0ms (0%)

sample1.0s (17.7%)

Algorithm
intervals
Results
300.0ms8000×body128valid
90.0ms2516×body128invalid
Compiler

Compiled 288 to 220 computations (23.6% saved)

Profiling

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