Details

Time bar (total: 3.8s)

analyze680.0ms (17.8%)

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
2.0ms61×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify192.0ms (5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
040010
140010

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 39 to 37 computations (5.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 t (-.f64 x z))
6.3b
(*.f64 y (*.f64 t (-.f64 x z)))

rewrite23.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in_binary64_7597 distribute-lft-in_binary64_7596
18×cancel-sign-sub-inv_binary64_7613
15×add-sqr-sqrt_binary64_7669
13×*-un-lft-identity_binary64_7647
11×add-cube-cbrt_binary64_7682
add-cbrt-cube_binary64_7683 add-exp-log_binary64_7685 pow1_binary64_7708
sub-neg_binary64_7640 associate-*l*_binary64_7588 associate-*r/_binary64_7589 associate-*r*_binary64_7587
prod-exp_binary64_7696 cbrt-unprod_binary64_7680 pow-prod-down_binary64_7718
flip--_binary64_7622 flip3--_binary64_7651 add-log-exp_binary64_7686 *-commutative_binary64_7578
unswap-sqr_binary64_7615 difference-of-squares_binary64_7616 distribute-lft-out--_binary64_7599
Counts
2 → 66
Calls

2 calls:

10.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
8.0ms
(*.f64 t (-.f64 x z))

series173.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

109.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
64.0ms
(*.f64 t (-.f64 x z))

simplify54.0ms (1.4%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04978830
14978830

prune106.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh011
Picked011
Done000
Total67774

Merged error: 0.0b

Counts
74 → 7
Compiler

Compiled 1931 to 912 computations (52.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.2b
(*.f64 (*.f64 y t) (-.f64 x z))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_7683 *-un-lft-identity_binary64_7647 cancel-sign-sub-inv_binary64_7613 add-exp-log_binary64_7685 pow1_binary64_7708 add-sqr-sqrt_binary64_7669
associate-*r*_binary64_7587
add-cube-cbrt_binary64_7682 distribute-rgt-in_binary64_7597 distribute-lft-in_binary64_7596
prod-exp_binary64_7696 cbrt-unprod_binary64_7680 pow-prod-down_binary64_7718
sub-neg_binary64_7640 associate-*r/_binary64_7589
flip--_binary64_7622 flip3--_binary64_7651 associate-*l*_binary64_7588 difference-of-squares_binary64_7616 add-log-exp_binary64_7686 distribute-lft-out--_binary64_7599 *-commutative_binary64_7578
Counts
1 → 30
Calls

1 calls:

10.0ms
(*.f64 (*.f64 y t) (-.f64 x z))

series98.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

98.0ms
(*.f64 (*.f64 y t) (-.f64 x z))

simplify59.0ms (1.5%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04929411
14929411

prune27.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh055
Picked011
Done011
Total33740

Merged error: 0.0b

Counts
40 → 7
Compiler

Compiled 548 to 184 computations (66.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.3b
(*.f64 y (*.f64 t (-.f64 x z)))
6.6b
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
6.6b
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
6.6b
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))

rewrite39.0ms (1%)

Algorithm
rewrite-expression-head
Rules
16×associate-*r/_binary64_7589 distribute-rgt-in_binary64_7597 distribute-lft-in_binary64_7596
12×cancel-sign-sub-inv_binary64_7613
add-cbrt-cube_binary64_7683 *-un-lft-identity_binary64_7647 add-exp-log_binary64_7685 pow1_binary64_7708 add-sqr-sqrt_binary64_7669 add-cube-cbrt_binary64_7682
cbrt-div_binary64_7679
sub-neg_binary64_7640 flip--_binary64_7622 flip3--_binary64_7651 add-log-exp_binary64_7686
prod-exp_binary64_7696 cbrt-prod_binary64_7678 associate-*l*_binary64_7588 cbrt-unprod_binary64_7680 pow-prod-down_binary64_7718 pow1/3_binary64_7729
associate-*r*_binary64_7587 *-commutative_binary64_7578
Counts
4 → 69
Calls

4 calls:

10.0ms
(*.f64 y (*.f64 t (-.f64 x z)))
8.0ms
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
7.0ms
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
7.0ms
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))

series942.0ms (24.6%)

Counts
4 → 12
Calls

4 calls:

285.0ms
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
284.0ms
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
271.0ms
(cbrt.f64 (*.f64 y (*.f64 t (-.f64 x z))))
102.0ms
(*.f64 y (*.f64 t (-.f64 x z)))

simplify67.0ms (1.8%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050031159

prune78.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh044
Picked011
Done022
Total81788

Merged error: 0.0b

Counts
88 → 7
Compiler

Compiled 2629 to 385 computations (85.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(-.f64 (*.f64 x y) (*.f64 z y))
8.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)

rewrite14.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_7669
add-cbrt-cube_binary64_7683 *-un-lft-identity_binary64_7647 associate-*l*_binary64_7588 add-exp-log_binary64_7685 pow1_binary64_7708 add-log-exp_binary64_7686 add-cube-cbrt_binary64_7682
associate-*r*_binary64_7587
flip--_binary64_7622 flip3--_binary64_7651 distribute-rgt-out--_binary64_7601 associate-*l/_binary64_7590
sub-neg_binary64_7640 diff-log_binary64_7739 unswap-sqr_binary64_7615 prod-exp_binary64_7696 cancel-sign-sub-inv_binary64_7613 cbrt-unprod_binary64_7680 pow-prod-down_binary64_7718 *-commutative_binary64_7578
Counts
2 → 34
Calls

2 calls:

7.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

series173.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

111.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z y)) t)
61.0ms
(-.f64 (*.f64 x y) (*.f64 z y))

simplify63.0ms (1.6%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05095477

prune37.0ms (1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New40040
Fresh033
Picked011
Done033
Total40747

Merged error: 0.0b

Counts
47 → 7
Compiler

Compiled 703 to 260 computations (63% saved)

regimes186.0ms (4.8%)

Compiler

Compiled 568 to 416 computations (26.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
07295
17295

end0.0ms (0%)

sample744.0ms (19.4%)

Algorithm
intervals
Results
254.0ms8000×body128valid
55.0ms1871×body128invalid
Compiler

Compiled 191 to 115 computations (39.8% saved)

Profiling

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