Details

Time bar (total: 4.8s)

analyze216.0ms (4.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample49.0ms (1%)

Algorithm
1×intervals
Results
37.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify190.0ms (4%)

Algorithm
1×egg-herbie
Rules
889×associate-/r*_binary64
839×neg-mul-1_binary64
735×sub-neg_binary64
637×neg-sub0_binary64
568×associate-/l/_binary64
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01731
14228
210228
324728
462328
588328
6130128
7272628
8309528
9337028
10343128
11346028
12355228
13493528
14494828
15465528
16489528
17484328

prune9.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 99 to 74 computations (25.3% saved)

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite176.0ms (3.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
17×add-cbrt-cube_binary64
17×add-exp-log_binary64
10×associate-*r/_binary64
9×add-sqr-sqrt_binary64
9×pow1_binary64
Counts
3 → 65
Calls

3 calls:

19.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
9.0ms
(*.f64 (*.f64 v v) 6)
5.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
Compiler

Compiled 1834 to 1172 computations (36.1% saved)

series104.0ms (2.2%)

Error
0.0b
Counts
3 → 15
Calls

3 calls:

48.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
20.0ms
(sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))
13.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 980 to 815 computations (16.8% saved)

simplify130.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
883×associate-/r*_binary64
337×distribute-rgt-in_binary64
321×distribute-lft-in_binary64
190×associate-*r*_binary64
189×cancel-sign-sub-inv_binary64
Counts
80 → 65
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02462064
15911815
222401777
355991777

prune108.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New63265
Fresh101
Picked101
Done000
Total65267
Error
0b
Counts
67 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 (*.f64 (cbrt.f64 4/3) (cbrt.f64 4/3)) (/.f64 PI.f64 (/.f64 (cbrt.f64 4/3) (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))))
Compiler

Compiled 1522 to 1049 computations (31.1% saved)

localize35.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (pow.f64 v 4) 36)
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(*.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
1.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36))))))

rewrite369.0ms (7.8%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
37×add-exp-log_binary64
34×add-cbrt-cube_binary64
24×add-sqr-sqrt_binary64
23×associate-*l*_binary64
22×associate-*r/_binary64
Counts
4 → 120
Calls

4 calls:

34.0ms
(*.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
20.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36))))))
10.0ms
(*.f64 (pow.f64 v 4) 36)
9.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 4650 to 3348 computations (28% saved)

series137.0ms (2.9%)

Error
0b
Counts
4 → 18
Calls

4 calls:

50.0ms
(*.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
28.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36))))))
18.0ms
(*.f64 (pow.f64 v 4) 36)
16.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1242 to 1017 computations (18.1% saved)

simplify210.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
546×distribute-rgt-in_binary64
327×associate-*l*_binary64
319×associate-*r*_binary64
233×distribute-rgt-neg-in_binary64
218×cancel-sign-sub-inv_binary64
Counts
138 → 85
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03544412
18383821
232833743
353573743

prune128.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh101
Picked011
Done000
Total85287
Error
0b
Counts
87 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
▶0.0b
(/.f64 (*.f64 (/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))) 1) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
Compiler

Compiled 2045 to 1482 computations (27.5% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (*.f64 (/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))) 1) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(*.f64 PI.f64 (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 (*.f64 v v) 6)
1.0b
(/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))

rewrite314.0ms (6.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
39×add-exp-log_binary64
30×add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
14×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
Counts
4 → 105
Calls

4 calls:

22.0ms
(/.f64 (*.f64 (/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))) 1) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
11.0ms
(*.f64 PI.f64 (-.f64 1 (*.f64 v v)))
11.0ms
(/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
9.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 2893 to 1919 computations (33.7% saved)

series132.0ms (2.8%)

Error
0b
Counts
4 → 21
Calls

4 calls:

47.0ms
(/.f64 (*.f64 (/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))) 1) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
23.0ms
(*.f64 PI.f64 (-.f64 1 (*.f64 v v)))
22.0ms
(/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v))))
15.0ms
(*.f64 (*.f64 v v) 6)
Compiler

Compiled 1234 to 1017 computations (17.6% saved)

simplify261.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
593×associate-*l/_binary64
364×associate-/r/_binary64
214×times-frac_binary64
189×distribute-rgt-in_binary64
177×distribute-lft-in_binary64
Counts
126 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02763016
16212582
223912521
347972521
449942521
550002521
649432521

prune106.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh000
Picked011
Done011
Total93295
Error
0b
Counts
95 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 4 (*.f64 (pow.f64 v 4) 36)))))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(/.f64 (*.f64 (/.f64 4/3 (*.f64 PI.f64 (-.f64 1 (*.f64 v v)))) 1) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
Compiler

Compiled 1593 to 1080 computations (32.2% saved)

regimes568.0ms (11.9%)

Accuracy

Total 0.0b remaining (34.7%)

Threshold costs 0.0b (34.7%)

Compiler

Compiled 7528 to 5738 computations (23.8% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
5×*-commutative_binary64
5×sub-neg_binary64
3×distribute-rgt-neg-in_binary64
3×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01528
12828
24128
34728
45028
54828

end1.0ms (0%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.5s (30.8%)

Algorithm
1×intervals
Results
1.0s8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 91 to 70 computations (23.1% saved)

Profiling

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