Details

Time bar (total: 3.9s)

analyze623.0ms (16%)

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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
3.0ms88×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify205.0ms (5.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
070413
170413

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b
(*.f64 y (-.f64 z x))
7.6b
(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64_12463 add-sqr-sqrt_binary64_12485
10×add-exp-log_binary64_12501 add-cbrt-cube_binary64_12499
add-cube-cbrt_binary64_12498
cancel-sign-sub-inv_binary64_12429
pow1_binary64_12524 associate-*r*_binary64_12403 add-log-exp_binary64_12502
distribute-rgt-in_binary64_12413 distribute-lft-in_binary64_12412 associate-*r/_binary64_12405
times-frac_binary64_12469 associate-*l*_binary64_12404 associate-/r*_binary64_12407
prod-exp_binary64_12512 cbrt-undiv_binary64_12497 sub-neg_binary64_12456 cbrt-unprod_binary64_12496 associate-/l/_binary64_12410 flip--_binary64_12438 div-exp_binary64_12514 flip3--_binary64_12467
clear-num_binary64_12462 distribute-lft-out--_binary64_12415 unswap-sqr_binary64_12431 difference-of-squares_binary64_12432 *-commutative_binary64_12394 +-commutative_binary64_12393 pow-prod-down_binary64_12534 frac-2neg_binary64_12474 distribute-lft-out_binary64_12414 associate-/l*_binary64_12408 flip3-+_binary64_12466 div-inv_binary64_12460 sum-log_binary64_12554 flip-+_binary64_12437
Counts
3 → 65
Calls

3 calls:

9.0ms
(/.f64 (*.f64 y (-.f64 z x)) t)
8.0ms
(*.f64 y (-.f64 z x))
6.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series259.0ms (6.7%)

Counts
3 → 9
Calls

3 calls:

116.0ms
(/.f64 (*.f64 y (-.f64 z x)) t)
76.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
68.0ms
(*.f64 y (-.f64 z x))

simplify53.0ms (1.4%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05315909

prune112.0ms (2.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New67774
Fresh000
Picked101
Done000
Total68775

Merged error: 0.0b

Counts
75 → 7
Compiler

Compiled 2001 to 956 computations (52.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
5.1b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite42.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64_12485
40×times-frac_binary64_12469
38×*-un-lft-identity_binary64_12463
34×associate-*r*_binary64_12403
26×add-cube-cbrt_binary64_12498 cbrt-prod_binary64_12494
25×add-exp-log_binary64_12501
18×add-cbrt-cube_binary64_12499
prod-exp_binary64_12512 cbrt-unprod_binary64_12496
cbrt-undiv_binary64_12497 associate-*l*_binary64_12404 div-exp_binary64_12514
distribute-lft-out--_binary64_12415 pow1_binary64_12524 unswap-sqr_binary64_12431 difference-of-squares_binary64_12432
add-log-exp_binary64_12502
pow1/3_binary64_12545
div-inv_binary64_12460
*-commutative_binary64_12394 associate-*l/_binary64_12406 pow-prod-down_binary64_12534 frac-times_binary64_12473 associate-*r/_binary64_12405
Counts
4 → 104
Calls

4 calls:

27.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)
1.0ms
(cbrt.f64 t)

series703.0ms (18.1%)

Counts
4 → 12
Calls

4 calls:

238.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
160.0ms
(cbrt.f64 t)
154.0ms
(cbrt.f64 t)
150.0ms
(cbrt.f64 t)

simplify87.0ms (2.2%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049421665
149421665

prune112.0ms (2.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1151116
Fresh246
Picked101
Done000
Total1185123

Merged error: 0b

Counts
123 → 5
Compiler

Compiled 2557 to 866 computations (66.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))
5.0b
(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))

rewrite52.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64_12485
56×times-frac_binary64_12469
52×cancel-sign-sub-inv_binary64_12429
48×*-un-lft-identity_binary64_12463
40×add-cube-cbrt_binary64_12498
28×associate-+r+_binary64_12395 distribute-rgt-in_binary64_12413 distribute-lft-in_binary64_12412
13×associate-*l*_binary64_12404
12×associate-*r*_binary64_12403
add-exp-log_binary64_12501 div-inv_binary64_12460 add-cbrt-cube_binary64_12499
distribute-lft-out--_binary64_12415 pow1_binary64_12524 sub-neg_binary64_12456 difference-of-squares_binary64_12432 frac-times_binary64_12473 associate-*r/_binary64_12405 add-log-exp_binary64_12502
frac-sub_binary64_12472 prod-exp_binary64_12512 unswap-sqr_binary64_12431 cbrt-unprod_binary64_12496 flip--_binary64_12438 flip3--_binary64_12467 sub-div_binary64_12470
cbrt-undiv_binary64_12497 distribute-rgt-out--_binary64_12417 *-commutative_binary64_12394 +-commutative_binary64_12393 associate-*l/_binary64_12406 pow-prod-down_binary64_12534 flip3-+_binary64_12466 sum-log_binary64_12554 div-exp_binary64_12514 flip-+_binary64_12437
Counts
2 → 116
Calls

2 calls:

26.0ms
(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
10.0ms
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

series200.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

127.0ms
(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
73.0ms
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

simplify66.0ms (1.7%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051832129

prune128.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done000
Total1225127

Merged error: 0b

Counts
127 → 5
Compiler

Compiled 2684 to 1482 computations (44.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite32.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64_12485
37×*-un-lft-identity_binary64_12463
31×times-frac_binary64_12469
23×add-cube-cbrt_binary64_12498
19×associate-*r*_binary64_12403
10×add-exp-log_binary64_12501 add-cbrt-cube_binary64_12499
distribute-lft-out--_binary64_12415 difference-of-squares_binary64_12432
pow1_binary64_12524 associate-/l*_binary64_12408 add-log-exp_binary64_12502
associate-*l*_binary64_12404 associate-/r*_binary64_12407
prod-exp_binary64_12512 cbrt-undiv_binary64_12497 unswap-sqr_binary64_12431 cbrt-unprod_binary64_12496 associate-/l/_binary64_12410 div-inv_binary64_12460 div-exp_binary64_12514
clear-num_binary64_12462 *-commutative_binary64_12394 flip--_binary64_12438 +-commutative_binary64_12393 pow-prod-down_binary64_12534 frac-2neg_binary64_12474 flip3-+_binary64_12466 associate-*r/_binary64_12405 sum-log_binary64_12554 flip3--_binary64_12467 flip-+_binary64_12437 div-sub_binary64_12468
Counts
3 → 87
Calls

3 calls:

11.0ms
(*.f64 y (/.f64 (-.f64 z x) t))
7.0ms
(/.f64 (-.f64 z x) t)
4.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))

series244.0ms (6.3%)

Counts
3 → 9
Calls

3 calls:

121.0ms
(*.f64 y (/.f64 (-.f64 z x) t))
76.0ms
(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
47.0ms
(/.f64 (-.f64 z x) t)

simplify67.0ms (1.7%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
058221341

prune59.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done011
Total965101

Merged error: 0b

Counts
101 → 5
Compiler

Compiled 1454 to 321 computations (77.9% saved)

regimes49.0ms (1.3%)

Compiler

Compiled 256 to 236 computations (7.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03019
13019

end0.0ms (0%)

sample712.0ms (18.3%)

Algorithm
intervals
Results
249.0ms8000×body128valid
72.0ms2108×body128invalid
Compiler

Compiled 99 to 86 computations (13.1% saved)

Profiling

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