Details

Time bar (total: 4.6s)

analyze397.0ms (8.6%)

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 (0.3%)

Algorithm
intervals
Results
7.0ms256×body80valid
0.0msbody80invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify30.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
012710
112710

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.5b

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))
2.5b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_1562 add-cube-cbrt_binary64_1548 *-un-lft-identity_binary64_1577
times-frac_binary64_1572
add-exp-log_binary64_1541 add-log-exp_binary64_1542 add-cbrt-cube_binary64_1549
associate-/r*_binary64_1640 associate-/l*_binary64_1641
associate-/r/_binary64_1642 pow1_binary64_1519 flip--_binary64_1603 flip3--_binary64_1576
sub-neg_binary64_1581 clear-num_binary64_1580 div-exp_binary64_1526 cbrt-undiv_binary64_1547 frac-2neg_binary64_1570 div-inv_binary64_1578 diff-log_binary64_1488
Counts
2 → 40
Calls

2 calls:

6.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
4.0ms
(-.f64 y (*.f64 z t))

series150.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

90.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
61.0ms
(-.f64 y (*.f64 z t))

simplify109.0ms (2.4%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
05018671

prune46.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New40646
Fresh000
Picked011
Done000
Total40747

Merged error: 2.4b

Counts
47 → 7
Compiler

Compiled 701 to 194 computations (72.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
0.7b
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
2.4b
(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64_1572
53×add-sqr-sqrt_binary64_1562 add-cube-cbrt_binary64_1548 *-un-lft-identity_binary64_1577
16×add-exp-log_binary64_1541 associate-/r*_binary64_1640
10×add-cbrt-cube_binary64_1549
div-exp_binary64_1526
associate-/l*_binary64_1641 div-inv_binary64_1578
add-log-exp_binary64_1542
pow1_binary64_1519 cbrt-undiv_binary64_1547
1-exp_binary64_1537 clear-num_binary64_1580 flip--_binary64_1603 rec-exp_binary64_1525 frac-2neg_binary64_1570 flip3--_binary64_1576 associate-/l/_binary64_1643
sub-neg_binary64_1581 div-sub_binary64_1571 associate-/r/_binary64_1642 inv-pow_binary64_1495 diff-log_binary64_1488 pow-flip_binary64_1503
Counts
3 → 117
Calls

3 calls:

9.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
6.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)
4.0ms
(-.f64 y (*.f64 z t))

series353.0ms (7.7%)

Counts
3 → 9
Calls

3 calls:

211.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
86.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)
56.0ms
(-.f64 y (*.f64 z t))

simplify135.0ms (2.9%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
058052370

prune92.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh055
Picked011
Done011
Total1267133

Merged error: 2.4b

Counts
133 → 7
Compiler

Compiled 2125 to 549 computations (74.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b
(/.f64 x (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
7.0b
(cbrt.f64 (-.f64 y (*.f64 z t)))
7.0b
(cbrt.f64 (-.f64 y (*.f64 z t)))
7.0b
(cbrt.f64 (-.f64 y (*.f64 z t)))

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64_1545
add-exp-log_binary64_1541 cbrt-prod_binary64_1544 add-sqr-sqrt_binary64_1562 flip--_binary64_1603 add-cube-cbrt_binary64_1548 flip3--_binary64_1576 *-un-lft-identity_binary64_1577
associate-/r/_binary64_1642
add-cbrt-cube_binary64_1549
pow1_binary64_1519 add-log-exp_binary64_1542 frac-times_binary64_1569
times-frac_binary64_1572 pow1/3_binary64_1511 associate-/l*_binary64_1641
div-exp_binary64_1526 cbrt-undiv_binary64_1547 associate-*r/_binary64_1638 associate-*l/_binary64_1639
prod-exp_binary64_1524 clear-num_binary64_1580 associate-/r*_binary64_1640 frac-2neg_binary64_1570 cbrt-unprod_binary64_1546 div-inv_binary64_1578
Counts
4 → 68
Calls

4 calls:

13.0ms
(/.f64 x (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
3.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
3.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
3.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))

series1.0s (21.9%)

Counts
4 → 12
Calls

4 calls:

354.0ms
(/.f64 x (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t)))))
221.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
220.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
214.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))

simplify182.0ms (3.9%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
049241525
149241525

prune83.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done022
Total80787

Merged error: 2.4b

Counts
87 → 7
Compiler

Compiled 2384 to 586 computations (75.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t))))
7.0b
(cbrt.f64 (-.f64 y (*.f64 z t)))
7.0b
(cbrt.f64 (-.f64 y (*.f64 z t)))
7.0b
(cbrt.f64 (-.f64 y (*.f64 z t)))

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_1544
23×add-sqr-sqrt_binary64_1562
18×cbrt-div_binary64_1545
15×add-cube-cbrt_binary64_1548 *-un-lft-identity_binary64_1577
11×pow1_binary64_1519
pow1/3_binary64_1511 flip--_binary64_1603 flip3--_binary64_1576
swap-sqr_binary64_1604 add-exp-log_binary64_1541 associate-*l*_binary64_1637 associate-*r*_binary64_1636
add-log-exp_binary64_1542 frac-times_binary64_1569 unswap-sqr_binary64_1605 add-cbrt-cube_binary64_1549
pow-sqr_binary64_1610 pow-prod-down_binary64_1500 pow-prod-up_binary64_1499 associate-*r/_binary64_1638 associate-*l/_binary64_1639
*-commutative_binary64_1645 prod-exp_binary64_1524 pow-plus_binary64_1514 cbrt-unprod_binary64_1546 pow2_binary64_1510
Counts
4 → 87
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t))))
4.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
3.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
3.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))

series930.0ms (20.2%)

Counts
4 → 12
Calls

4 calls:

271.0ms
(*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (-.f64 y (*.f64 z t))))
222.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
221.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))
216.0ms
(cbrt.f64 (-.f64 y (*.f64 z t)))

simplify114.0ms (2.5%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049481878
149481878

prune101.0ms (2.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done033
Total997106

Merged error: 2.4b

Counts
106 → 7
Compiler

Compiled 3003 to 760 computations (74.7% saved)

regimes105.0ms (2.3%)

Compiler

Compiled 829 to 565 computations (31.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03510
13510

end0.0ms (0%)

sample624.0ms (13.6%)

Algorithm
intervals
Results
244.0ms8000×body80valid
11.0ms380×body80invalid
Compiler

Compiled 165 to 111 computations (32.7% saved)

Profiling

Loading profile data...