Details

Time bar (total: 5.0s)

analyze1.0s (20.5%)

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
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample26.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
3.0ms104×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify207.0ms (4.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
068013
168013

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.4b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b
(*.f64 y (-.f64 z t))
6.7b
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_9389
15×*-un-lft-identity_binary64_9367
13×cancel-sign-sub-inv_binary64_9333
11×add-cube-cbrt_binary64_9402
10×add-cbrt-cube_binary64_9403 add-exp-log_binary64_9405
times-frac_binary64_9373
pow1_binary64_9428 add-log-exp_binary64_9406 associate-*r*_binary64_9307
distribute-rgt-in_binary64_9317 distribute-lft-in_binary64_9316 associate-*r/_binary64_9309
associate-/r*_binary64_9311 associate-*l*_binary64_9308 flip3--_binary64_9371 flip--_binary64_9342 sub-neg_binary64_9360
cbrt-unprod_binary64_9400 distribute-lft-out--_binary64_9319 prod-exp_binary64_9416 associate-/l/_binary64_9314 cbrt-undiv_binary64_9401 div-inv_binary64_9364 div-exp_binary64_9418 difference-of-squares_binary64_9336
pow-prod-down_binary64_9438 diff-log_binary64_9459 clear-num_binary64_9366 unswap-sqr_binary64_9335 *-commutative_binary64_9298 associate-/l*_binary64_9312 frac-2neg_binary64_9378
Counts
3 → 73
Calls

3 calls:

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

series275.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

108.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)
107.0ms
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
59.0ms
(*.f64 y (-.f64 z t))

simplify58.0ms (1.2%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050391067

prune111.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75782
Fresh000
Picked011
Done000
Total75883

Merged error: 0.0b

Counts
83 → 8
Compiler

Compiled 2043 to 946 computations (53.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
0.6b
(cbrt.f64 a)
6.1b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite39.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64_9389
40×times-frac_binary64_9373
38×*-un-lft-identity_binary64_9367
34×associate-*r*_binary64_9307
26×cbrt-prod_binary64_9398 add-cube-cbrt_binary64_9402
25×add-exp-log_binary64_9405
18×add-cbrt-cube_binary64_9403
cbrt-unprod_binary64_9400 prod-exp_binary64_9416
associate-*l*_binary64_9308 cbrt-undiv_binary64_9401 div-exp_binary64_9418
distribute-lft-out--_binary64_9319 pow1_binary64_9428 unswap-sqr_binary64_9335 difference-of-squares_binary64_9336
add-log-exp_binary64_9406
pow1/3_binary64_9449
div-inv_binary64_9364
pow-prod-down_binary64_9438 frac-times_binary64_9377 associate-*l/_binary64_9310 *-commutative_binary64_9298 associate-*r/_binary64_9309
Counts
4 → 104
Calls

4 calls:

23.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)

series685.0ms (13.7%)

Counts
4 → 12
Calls

4 calls:

236.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
151.0ms
(cbrt.f64 a)
150.0ms
(cbrt.f64 a)
148.0ms
(cbrt.f64 a)

simplify92.0ms (1.9%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049441665
149441665

prune118.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh246
Picked011
Done011
Total1177124

Merged error: 0.0b

Counts
124 → 7
Compiler

Compiled 2585 to 913 computations (64.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))
8.4b
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))

rewrite49.0ms (1%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64_9389
56×times-frac_binary64_9373
53×cancel-sign-sub-inv_binary64_9333
48×*-un-lft-identity_binary64_9367
40×add-cube-cbrt_binary64_9402
28×distribute-rgt-in_binary64_9317 associate--r+_binary64_9303 distribute-lft-in_binary64_9316
13×associate-*l*_binary64_9308
12×associate-*r*_binary64_9307
div-inv_binary64_9364 add-cbrt-cube_binary64_9403 add-exp-log_binary64_9405
sub-neg_binary64_9360
distribute-lft-out--_binary64_9319 pow1_binary64_9428 add-log-exp_binary64_9406 frac-times_binary64_9377 difference-of-squares_binary64_9336 associate-*r/_binary64_9309
flip3--_binary64_9371 flip--_binary64_9342
cbrt-unprod_binary64_9400 sub-div_binary64_9374 prod-exp_binary64_9416 frac-sub_binary64_9376 unswap-sqr_binary64_9335
pow-prod-down_binary64_9438 diff-log_binary64_9459 cbrt-undiv_binary64_9401 associate-*l/_binary64_9310 *-commutative_binary64_9298 div-exp_binary64_9418 distribute-rgt-out--_binary64_9321
Counts
2 → 117
Calls

2 calls:

27.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
8.0ms
(-.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

series233.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

124.0ms
(*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1)))
109.0ms
(-.f64 x (*.f64 (/.f64 y a) (-.f64 (/.f64 t -1) (/.f64 z -1))))

simplify70.0ms (1.4%)

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
055282137

prune147.0ms (2.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1221123
Fresh044
Picked011
Done022
Total1228130

Merged error: 0b

Counts
130 → 8
Compiler

Compiled 2874 to 1671 computations (41.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b
(/.f64 a (-.f64 z t))
5.3b
(/.f64 y (/.f64 a (-.f64 z t)))

rewrite77.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64_9373
179×add-sqr-sqrt_binary64_9389
172×*-un-lft-identity_binary64_9367
120×add-cube-cbrt_binary64_9402
68×cancel-sign-sub-inv_binary64_9333
28×difference-of-squares_binary64_9336
26×distribute-lft-out--_binary64_9319 associate-/r*_binary64_9311
18×associate-/r/_binary64_9313
10×div-inv_binary64_9364 add-cbrt-cube_binary64_9403 add-exp-log_binary64_9405
flip3--_binary64_9371 flip--_binary64_9342
associate-/l*_binary64_9312
add-log-exp_binary64_9406
cbrt-undiv_binary64_9401 div-exp_binary64_9418
pow1_binary64_9428
clear-num_binary64_9366 frac-2neg_binary64_9378
diff-log_binary64_9459 sub-neg_binary64_9360
Counts
3 → 222
Calls

3 calls:

31.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
12.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms
(/.f64 a (-.f64 z t))

series300.0ms (6%)

Counts
3 → 9
Calls

3 calls:

123.0ms
(/.f64 y (/.f64 a (-.f64 z t)))
113.0ms
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
64.0ms
(/.f64 a (-.f64 z t))

simplify96.0ms (1.9%)

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050324825

prune180.0ms (3.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2292231
Fresh224
Picked011
Done123
Total2327239

Merged error: 0b

Counts
239 → 7
Compiler

Compiled 4413 to 1038 computations (76.5% saved)

regimes237.0ms (4.8%)

Compiler

Compiled 772 to 792 computations (-2.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 7 computations (-40% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
018752
118752

end0.0ms (0%)

sample891.0ms (17.9%)

Algorithm
intervals
Results
282.0ms8000×body128valid
89.0ms2609×body128invalid
Compiler

Compiled 158 to 128 computations (19% saved)

Profiling

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