Details

Time bar (total: 6.4s)

analyze835.0ms (13%)

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
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample33.0ms (0.5%)

Algorithm
intervals
Results
16.0ms256×body128valid
1.0ms10×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify263.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
077213
177213

prune12.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 t z))
7.0b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite50.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_21583
12×flip3--_binary64_21565 *-un-lft-identity_binary64_21561 flip--_binary64_21536
add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
frac-times_binary64_21571 add-cube-cbrt_binary64_21596 associate-/r/_binary64_21507
cancel-sign-sub-inv_binary64_21527
associate-*r*_binary64_21501 associate-*l*_binary64_21502
distribute-lft-in_binary64_21510 distribute-rgt-in_binary64_21511 associate-*l/_binary64_21504 associate-*r/_binary64_21503 pow1_binary64_21622
times-frac_binary64_21567 associate-/l*_binary64_21506
cbrt-undiv_binary64_21595 cbrt-unprod_binary64_21594 div-exp_binary64_21612 prod-exp_binary64_21610 difference-of-squares_binary64_21530 sub-neg_binary64_21554 add-log-exp_binary64_21600 distribute-lft-out--_binary64_21513
frac-2neg_binary64_21572 *-commutative_binary64_21492 div-inv_binary64_21558 clear-num_binary64_21560 pow-prod-down_binary64_21632 unswap-sqr_binary64_21529 associate-/r*_binary64_21505
Counts
2 → 67
Calls

2 calls:

21.0ms
(*.f64 (-.f64 y z) (-.f64 t z))
19.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

series305.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

254.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
51.0ms
(*.f64 (-.f64 y z) (-.f64 t z))

simplify101.0ms (1.6%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
050341163

prune119.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New66773
Fresh000
Picked011
Done000
Total66874

Merged error: 0.0b

Counts
74 → 8
Compiler

Compiled 1239 to 348 computations (71.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))

rewrite80.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt_binary64_21583
42×times-frac_binary64_21567
40×*-un-lft-identity_binary64_21561
36×associate-*r*_binary64_21501
26×add-cube-cbrt_binary64_21596 cbrt-prod_binary64_21592
25×add-exp-log_binary64_21599
18×add-cbrt-cube_binary64_21597
11×associate-*l*_binary64_21502
cbrt-unprod_binary64_21594 prod-exp_binary64_21610
cbrt-undiv_binary64_21595 div-exp_binary64_21612 difference-of-squares_binary64_21530 distribute-lft-out--_binary64_21513
unswap-sqr_binary64_21529 pow1_binary64_21622
associate-/r/_binary64_21507 add-log-exp_binary64_21600
pow1/3_binary64_21643
flip3--_binary64_21565 div-inv_binary64_21558 flip--_binary64_21536
associate-*l/_binary64_21504 frac-times_binary64_21571 associate-*r/_binary64_21503 *-commutative_binary64_21492 pow-prod-down_binary64_21632
Counts
4 → 110
Calls

4 calls:

48.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))
7.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)
2.0ms
(cbrt.f64 x)

series784.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

327.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))
157.0ms
(cbrt.f64 x)
151.0ms
(cbrt.f64 x)
149.0ms
(cbrt.f64 x)

simplify115.0ms (1.8%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
050221939

prune181.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1211122
Fresh156
Picked011
Done011
Total1228130

Merged error: 0.0b

Counts
130 → 8
Compiler

Compiled 2465 to 640 computations (74% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.1b
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite61.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
195×times-frac_binary64_21567
157×add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
77×add-cube-cbrt_binary64_21596
40×difference-of-squares_binary64_21530 distribute-lft-out--_binary64_21513
21×associate-/l*_binary64_21506
14×associate-/r/_binary64_21507
flip3--_binary64_21565 div-inv_binary64_21558 flip--_binary64_21536
add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
associate-/r*_binary64_21505
cbrt-undiv_binary64_21595 div-exp_binary64_21612
associate-/l/_binary64_21508 frac-2neg_binary64_21572 add-log-exp_binary64_21600 clear-num_binary64_21560 pow1_binary64_21622
Counts
1 → 148
Calls

1 calls:

26.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

series225.0ms (3.5%)

Counts
1 → 3
Calls

1 calls:

225.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

simplify172.0ms (2.7%)

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
054324256

prune183.0ms (2.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1492151
Fresh145
Picked011
Done022
Total1509159

Merged error: 0b

Counts
159 → 9
Compiler

Compiled 3190 to 522 computations (83.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 t z))
2.5b
(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))

rewrite62.0ms (1%)

Algorithm
rewrite-expression-head
Rules
210×times-frac_binary64_21567
176×add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561
88×add-cube-cbrt_binary64_21596
44×difference-of-squares_binary64_21530 distribute-lft-out--_binary64_21513
24×associate-/l*_binary64_21506
16×associate-/r/_binary64_21507
10×associate-/r*_binary64_21505
add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
flip3--_binary64_21565 div-inv_binary64_21558 flip--_binary64_21536
cbrt-undiv_binary64_21595 div-exp_binary64_21612
frac-2neg_binary64_21572 add-log-exp_binary64_21600 clear-num_binary64_21560 pow1_binary64_21622
associate-/l/_binary64_21508
Counts
2 → 185
Calls

2 calls:

21.0ms
(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
9.0ms
(/.f64 x (-.f64 t z))

series289.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

230.0ms
(/.f64 (/.f64 x (-.f64 t z)) (-.f64 y z))
58.0ms
(/.f64 x (-.f64 t z))

simplify187.0ms (2.9%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
054004775

prune236.0ms (3.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1910191
Fresh055
Picked011
Done033
Total1919200

Merged error: 0b

Counts
200 → 9
Compiler

Compiled 3708 to 566 computations (84.7% saved)

regimes445.0ms (6.9%)

Compiler

Compiled 2071 to 1627 computations (21.4% saved)

bsearch2.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03787
13787

end0.0ms (0%)

sample1.6s (25%)

Algorithm
intervals
Results
488.0ms8000×body128valid
24.0ms426×body128invalid
Compiler

Compiled 415 to 291 computations (29.9% saved)

Profiling

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