Details

Time bar (total: 14.6s)

analyze1.8s (12.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04620154
14620154
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
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
3.7%96.1%0.2%13
4.2%94.5%1.3%14
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample38.0ms (0.3%)

Algorithm
intervals
Results
13.0ms256×body128valid
4.0ms71×body128invalid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify102.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
0488919
1488919

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 43 to 41 computations (4.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.0b
(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite170.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
27×*-un-lft-identity_binary64_20538
12×add-cube-cbrt_binary64_20573 add-sqr-sqrt_binary64_20560 times-frac_binary64_20544
10×add-log-exp_binary64_20577
distribute-lft-out_binary64_20489
add-exp-log_binary64_20576 add-cbrt-cube_binary64_20574
flip3-+_binary64_20541 flip-+_binary64_20512 associate-/l*_binary64_20483 sum-log_binary64_20629
pow1_binary64_20599 associate-/r*_binary64_20482
associate-/l/_binary64_20485 +-commutative_binary64_20468 frac-add_binary64_20546
div-exp_binary64_20589 cbrt-undiv_binary64_20572 frac-2neg_binary64_20549 clear-num_binary64_20537 div-inv_binary64_20535 associate-+r+_binary64_20470
Counts
3 → 62
Calls

3 calls:

41.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
23.0ms
(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
16.0ms
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Compiler

Compiled 1483 to 1015 computations (31.6% saved)

series840.0ms (5.8%)

Error
0.0b
Counts
3 → 45
Calls

3 calls:

464.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
184.0ms
(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
130.0ms
(/.f64 (+.f64 2 (/.f64 2 z)) t)
Compiler

Compiled 1698 to 1448 computations (14.7% saved)

simplify77.0ms (0.5%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
056881915

prune111.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh101
Picked011
Done000
Total1063109
Error
0b
Counts
109 → 3
Compiler

Compiled 1911 to 1224 computations (35.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 -2 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)))
0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))))
0.0b
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
0.3b
(/.f64 2 (*.f64 t z))

rewrite158.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
22×*-un-lft-identity_binary64_20538
20×add-log-exp_binary64_20577
11×distribute-lft-out_binary64_20489
10×sum-log_binary64_20629
add-exp-log_binary64_20576 add-cbrt-cube_binary64_20574
add-cube-cbrt_binary64_20573 add-sqr-sqrt_binary64_20560
pow1_binary64_20599 flip3-+_binary64_20541 flip-+_binary64_20512
times-frac_binary64_20544 div-inv_binary64_20535 associate-/l*_binary64_20483 frac-add_binary64_20546 +-commutative_binary64_20468
div-exp_binary64_20589 cbrt-undiv_binary64_20572 associate-+r+_binary64_20470
prod-exp_binary64_20587 cbrt-unprod_binary64_20571 frac-2neg_binary64_20549 clear-num_binary64_20537 associate-/r*_binary64_20482
Counts
4 → 69
Calls

4 calls:

23.0ms
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
21.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))))
19.0ms
(+.f64 -2 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)))
8.0ms
(/.f64 2 (*.f64 t z))
Compiler

Compiled 1736 to 1047 computations (39.7% saved)

series899.0ms (6.2%)

Error
0b
Counts
4 → 51
Calls

4 calls:

488.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))))
174.0ms
(+.f64 -2 (+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t)))
113.0ms
(+.f64 (/.f64 2 (*.f64 t z)) (/.f64 2 t))
88.0ms
(/.f64 2 (*.f64 t z))
Compiler

Compiled 1968 to 1664 computations (15.4% saved)

simplify70.0ms (0.5%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053692087

prune148.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done011
Total1203123
Error
0b
Counts
123 → 3
Compiler

Compiled 2199 to 1285 computations (41.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))
0.6b
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
0.6b
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
0.6b
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))

rewrite692.0ms (4.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
74×*-un-lft-identity_binary64_20538
52×cbrt-div_binary64_20570
51×cbrt-prod_binary64_20569
33×distribute-lft-out_binary64_20489
26×flip3-+_binary64_20541 frac-add_binary64_20546 flip-+_binary64_20512
23×add-sqr-sqrt_binary64_20560
16×frac-times_binary64_20548
15×add-cube-cbrt_binary64_20573
14×swap-sqr_binary64_20505
11×pow1_binary64_20599
pow1/3_binary64_20620
associate-*l*_binary64_20479 associate-*r*_binary64_20478
add-exp-log_binary64_20576
add-log-exp_binary64_20577 add-cbrt-cube_binary64_20574 unswap-sqr_binary64_20506 associate-*l/_binary64_20481 associate-*r/_binary64_20480
pow-prod-down_binary64_20609 pow-prod-up_binary64_20608 pow-sqr_binary64_20511
pow2_binary64_20619 pow-plus_binary64_20601 prod-exp_binary64_20587 cbrt-unprod_binary64_20571 *-commutative_binary64_20469
Counts
4 → 127
Calls

4 calls:

51.0ms
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))
25.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
25.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
21.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
Compiler

Compiled 8562 to 5622 computations (34.3% saved)

series6.5s (44.4%)

Error
0b
Counts
4 → 96
Calls

4 calls:

3.4s
(*.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))
933.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
890.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
859.0ms
(cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))
Compiler

Compiled 22923 to 17549 computations (23.4% saved)

simplify166.0ms (1.1%)

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0494710255
1494710255

prune897.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2230223
Fresh000
Picked011
Done022
Total2233226
Error
0b
Counts
226 → 3
Compiler

Compiled 12694 to 8220 computations (35.2% saved)

regimes299.0ms (2.1%)

Accuracy

Total 0.1b remaining (78.4%)

Threshold costs 0.1b (78.4%)

Compiler

Compiled 2435 to 2321 computations (4.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01619
11619

end0.0ms (0%)

sample1.6s (10.9%)

Algorithm
intervals
Results
489.0ms8000×body128valid
129.0ms2320×body128invalid
Compiler

Compiled 374 to 356 computations (4.8% saved)

Profiling

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