Details

Time bar (total: 7.0s)

analyze1.2s (16.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
3%46.9%50%13
3.1%46.8%50%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample77.0ms (1.1%)

Algorithm
intervals
Results
41.0ms120×body2048valid
17.0ms62×body1024valid
7.0ms37×body512valid
2.0ms18×body256valid
1.0ms19×body128valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify89.0ms (1.3%)

Algorithm
egg-herbie
Rules
686×div-sub_binary64
546×sub-neg_binary64
397×neg-mul-1_binary64
344×neg-sub0_binary64
311×associate-/r*_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01019
13119
27217
320317
453217
5134017
6271017
7374817
8464317
9498117

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.8b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Compiler

Compiled 43 to 29 computations (32.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (*.f64 5 (*.f64 v v)))
0.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite204.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
35×add-cube-cbrt_binary64
20×add-sqr-sqrt_binary64
18×add-exp-log_binary64
18×add-cbrt-cube_binary64
17×pow1_binary64
Counts
4 → 167
Calls

4 calls:

26.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
21.0ms
(*.f64 5 (*.f64 v v))
16.0ms
(-.f64 1 (*.f64 5 (*.f64 v v)))
9.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Compiler

Compiled 3690 to 2298 computations (37.7% saved)

series36.0ms (0.5%)

Error
0.7b
Counts
4 → 18
Calls

4 calls:

8.0ms
(-.f64 1 (*.f64 5 (*.f64 v v)))
6.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
6.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
5.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 478 to 396 computations (17.2% saved)

simplify125.0ms (1.8%)

Algorithm
egg-herbie
Rules
509×fma-neg_binary64
453×cancel-sign-sub-inv_binary64
330×exp-prod_binary64
296×distribute-rgt-neg-in_binary64
245×distribute-lft-neg-in_binary64
Counts
185 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02162943
15492763
223272669
342392659
449192659

prune84.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New994103
Fresh000
Picked101
Done000
Total1004104
Error
0.7b
Counts
104 → 4
Alt Table
StatusErrorProgram
0.8b
(acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))
61.6b
(/.f64 (-.f64 (*.f64 (/.f64 PI.f64 2) (/.f64 PI.f64 2)) (*.f64 (asin.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))) (asin.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))))) (+.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
2.2b
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
0.8b
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
Compiler

Compiled 2056 to 1374 computations (33.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))
0.0b
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))

rewrite168.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
31×add-cube-cbrt_binary64
19×pow1_binary64
18×add-sqr-sqrt_binary64
18×add-cbrt-cube_binary64
17×add-exp-log_binary64
Counts
4 → 151
Calls

4 calls:

19.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))
17.0ms
(*.f64 5 (*.f64 v v))
9.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))
9.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
Compiler

Compiled 3213 to 2209 computations (31.2% saved)

series44.0ms (0.6%)

Error
0.7b
Counts
4 → 15
Calls

4 calls:

21.0ms
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
7.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))
5.0ms
(*.f64 5 (*.f64 v v))
5.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))
Compiler

Compiled 454 to 383 computations (15.6% saved)

simplify109.0ms (1.6%)

Algorithm
egg-herbie
Rules
538×fma-def_binary64
533×associate-/r*_binary64
185×distribute-rgt-in_binary64
175×distribute-lft-in_binary64
170×associate-/l/_binary64
Counts
166 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01832889
14092540
214892270
348432270
450252270

prune74.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh033
Picked011
Done000
Total92597
Error
0.7b
Counts
97 → 5
Alt Table
StatusErrorProgram
0.8b
(acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))
61.6b
(/.f64 (-.f64 (*.f64 (/.f64 PI.f64 2) (/.f64 PI.f64 2)) (*.f64 (asin.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))) (asin.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))))) (+.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
2.2b
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
0.8b
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
61.6b
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (*.f64 PI.f64 PI.f64) 4) (*.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1))))) (+.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) -5 1) (fma.f64 v v -1)))))))
Compiler

Compiled 1860 to 1283 computations (31% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)
0.0b
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3))
0.2b
(*.f64 5 (*.f64 v v))
0.7b
(acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))

rewrite193.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
23×add-cube-cbrt_binary64
18×add-sqr-sqrt_binary64
15×add-exp-log_binary64
14×pow1_binary64
13×add-cbrt-cube_binary64
Counts
4 → 152
Calls

4 calls:

23.0ms
(*.f64 5 (*.f64 v v))
21.0ms
(pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)
13.0ms
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3))
9.0ms
(acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))
Compiler

Compiled 3034 to 2082 computations (31.4% saved)

series41.0ms (0.6%)

Error
0.7b
Counts
4 → 18
Calls

4 calls:

9.0ms
(acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))
8.0ms
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3))
7.0ms
(pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)
5.0ms
(*.f64 5 (*.f64 v v))
Compiler

Compiled 618 to 496 computations (19.7% saved)

simplify139.0ms (2%)

Algorithm
egg-herbie
Rules
670×fma-neg_binary64
330×exp-prod_binary64
292×fma-def_binary64
232×cancel-sign-sub-inv_binary64
227×distribute-rgt-in_binary64
Counts
170 → 98
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01712247
13572042
210981830
335211820
444431796
549761796
648571796

prune85.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New95398
Fresh303
Picked101
Done011
Total994103
Error
0.7b
Counts
103 → 4
Alt Table
StatusErrorProgram
61.6b
(/.f64 (-.f64 (/.f64 (*.f64 PI.f64 PI.f64) 4) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
2.2b
(*.f64 (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
0.8b
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
2.2b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
Compiler

Compiled 1765 to 1247 computations (29.3% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
1.0b
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
1.0b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
1.0b
(cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1))))

rewrite236.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.7b
Rules
28×add-cube-cbrt_binary64
27×pow1/3_binary64
17×add-sqr-sqrt_binary64
12×add-exp-log_binary64
12×log1p-expm1-u_binary64
Counts
4 → 132
Calls

4 calls:

13.0ms
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
13.0ms
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
9.0ms
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
9.0ms
(cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1))))
Compiler

Compiled 5141 to 3656 computations (28.9% saved)

series108.0ms (1.6%)

Error
0.7b
Counts
4 → 12
Calls

4 calls:

30.0ms
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
26.0ms
(cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1))))
25.0ms
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
22.0ms
(cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
Compiler

Compiled 1236 to 919 computations (25.6% saved)

simplify137.0ms (2%)

Algorithm
egg-herbie
Rules
765×log-prod_binary64
313×*-commutative_binary64
232×exp-sum_binary64
227×associate-*l*_binary64
222×exp-prod_binary64
Counts
144 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0962951
11562503
23282461
310252438
429832108
544382108
649472108

prune66.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New78482
Fresh112
Picked011
Done011
Total79786
Error
0.7b
Counts
86 → 7
Alt Table
StatusErrorProgram
1.7b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))) (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 4/3)) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2/3))))
61.6b
(/.f64 (-.f64 (/.f64 (*.f64 PI.f64 PI.f64) 4) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) (+.f64 (/.f64 PI.f64 2) (asin.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
2.2b
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1))))) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2/3))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
2.3b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))) 2/3)) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.8b
(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (fma.f64 v v -1)))))
1.7b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))) 5) (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
2.2b
(*.f64 (cbrt.f64 (acos.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) 3)) (-.f64 (*.f64 v v) 1)))) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
Compiler

Compiled 2642 to 1887 computations (28.6% saved)

regimes804.0ms (11.6%)

Accuracy

Total 0.0b remaining (4.9%)

Threshold costs 0.0b (4.9%)

Compiler

Compiled 21334 to 15772 computations (26.1% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
distribute-lft-neg-in_binary64
distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
12425
23125
33825
44325
54625
64725
74425

end1.0ms (0%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample2.9s (41.9%)

Algorithm
intervals
Results
1.6s3979×body2048valid
546.0ms2013×body1024valid
186.0ms1022×body512valid
78.0ms483×body128valid
58.0ms503×body256valid
0.0msbody128nan
Compiler

Compiled 371 to 271 computations (27% saved)

Profiling

Loading profile data...