Details

Time bar (total: 6.2s)

analyze430.0ms (6.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6.1%20.4%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.2%16.6%74.3%14
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample46.0ms (0.7%)

Algorithm
1×intervals
Results
15.0ms197×body128valid
8.0ms16×body1024valid
6.0ms21×body512valid
3.0ms22×body256valid
1.0ms10×body128nan
0.0ms2×body128invalid
Compiler

Compiled 47 to 37 computations (21.3% saved)

simplify134.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
753×unsub-neg_binary64
686×sub-neg_binary64
591×distribute-rgt-in_binary64
521×neg-sub0_binary64
433×associate--r-_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01526
13026
25626
311026
424526
562126
6127026
7154426
8148926
9156626
10158126
11159126
12240126
13455926
14485526
15446326
16490726
17500326

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
7.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶7.0b
(-.f64 (+.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 42 to 32 computations (23.8% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (-.f64 x 1) (log.f64 y))
7.3b
(log.f64 (-.f64 1 y))

rewrite78.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
6.5b
Rules
16×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
12×log-prod_binary64
7×add-cube-cbrt_binary64 associate-*l*_binary64
6×pow1_binary64
Counts
2 → 48
Calls

2 calls:

8.0ms
(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms
(log.f64 (-.f64 1 y))
Compiler

Compiled 1009 to 673 computations (33.3% saved)

series65.0ms (1%)

Error
0.1b
Counts
2 → 15
Calls

2 calls:

35.0ms
(*.f64 (-.f64 x 1) (log.f64 y))
13.0ms
(log.f64 (-.f64 1 y))
Compiler

Compiled 795 to 584 computations (26.5% saved)

simplify132.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
502×times-frac_binary64
367×distribute-rgt-neg-out_binary64
313×cancel-sign-sub-inv_binary64
310×associate-*l*_binary64
249×distribute-lft-neg-out_binary64
Counts
63 → 49
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0127822
1241728
2667722
32000720
43889720
54946714
64952714
74834714

prune59.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New43649
Fresh000
Picked101
Done000
Total44650
Error
0.0b
Counts
50 → 6
Alt Table
StatusErrorProgram
7.1b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
▶0.2b
(-.f64 (+.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (*.f64 (-.f64 z 1) (*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3))))))) t)
7.6b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 -1 x))) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 -1 x)))) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 -1 x)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
7.6b
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 -1 x) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
34.5b
(-.f64 (+.f64 (*.f64 (+.f64 (sqrt.f64 x) 1) (*.f64 (log.f64 y) (+.f64 -1 (sqrt.f64 x)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
7.4b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1))) (*.f64 (log.f64 y) (cbrt.f64 (+.f64 -1 x)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 1144 to 779 computations (31.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 y (+.f64 1/2 (*.f64 y 1/3)))
0.0b
(*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3)))))
0.1b
(*.f64 (-.f64 x 1) (log.f64 y))
0.3b
(*.f64 y 1/3)

rewrite181.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64
16×associate-*l*_binary64
14×add-cube-cbrt_binary64
13×pow1_binary64 associate-*r*_binary64
Counts
4 → 95
Calls

4 calls:

8.0ms
(*.f64 (-.f64 x 1) (log.f64 y))
6.0ms
(*.f64 y (+.f64 1/2 (*.f64 y 1/3)))
6.0ms
(*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3)))))
4.0ms
(*.f64 y 1/3)
Compiler

Compiled 2695 to 1834 computations (31.9% saved)

series93.0ms (1.5%)

Error
0.0b
Counts
4 → 23
Calls

4 calls:

37.0ms
(*.f64 (-.f64 x 1) (log.f64 y))
16.0ms
(*.f64 y (+.f64 1/2 (*.f64 y 1/3)))
12.0ms
(*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3)))))
8.0ms
(*.f64 y 1/3)
Compiler

Compiled 1399 to 1030 computations (26.4% saved)

simplify120.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
719×distribute-rgt-in_binary64
685×distribute-lft-in_binary64
345×*-commutative_binary64
266×exp-prod_binary64
212×associate-*l*_binary64
Counts
118 → 98
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921581
14141421
213841418
338541418
444971418
548881418

prune131.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh055
Picked011
Done000
Total977104
Error
0.0b
Counts
104 → 7
Alt Table
StatusErrorProgram
▶7.1b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
✓0.2b
(-.f64 (+.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (*.f64 (-.f64 z 1) (*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3))))))) t)
7.6b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 -1 x))) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 -1 x)))) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 -1 x)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
21.5b
(-.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 -1 x)))) (*.f64 (-.f64 z 1) (*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3))))))) t)
7.6b
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 -1 x) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
34.5b
(-.f64 (+.f64 (*.f64 (+.f64 (sqrt.f64 x) 1) (*.f64 (log.f64 y) (+.f64 -1 (sqrt.f64 x)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
7.4b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1))) (*.f64 (log.f64 y) (cbrt.f64 (+.f64 -1 x)))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 2467 to 1685 computations (31.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)
7.3b
(log.f64 (-.f64 1 y))

rewrite214.0ms (3.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
42×log-prod_binary64
30×distribute-rgt-in_binary64 distribute-lft-in_binary64
24×cbrt-prod_binary64 associate-+l+_binary64
22×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
19×add-cube-cbrt_binary64
Counts
4 → 91
Calls

4 calls:

15.0ms
(+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
4.0ms
(log.f64 (-.f64 1 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 3466 to 2110 computations (39.1% saved)

series186.0ms (3%)

Error
0.0b
Counts
4 → 21
Calls

4 calls:

110.0ms
(+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
21.0ms
(cbrt.f64 y)
19.0ms
(cbrt.f64 y)
12.0ms
(log.f64 (-.f64 1 y))
Compiler

Compiled 1633 to 1250 computations (23.5% saved)

simplify142.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
335×associate-+l+_binary64
286×distribute-rgt-out_binary64
214×cancel-sign-sub-inv_binary64
174×associate-*r*_binary64
166×log-prod_binary64
Counts
112 → 86
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02152229
15281755
218171477
346631465
449821465
549001465

prune134.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New82486
Fresh505
Picked101
Done011
Total88593
Error
0.0b
Counts
93 → 5
Alt Table
StatusErrorProgram
▶0.5b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 z 1) (neg.f64 y))) t)
✓0.2b
(-.f64 (+.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (*.f64 (-.f64 z 1) (*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3))))))) t)
7.1b
(-.f64 (+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 3 x) -3)) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
7.1b
(-.f64 (+.f64 (+.f64 (*.f64 (+.f64 -1 x) (log.f64 (*.f64 (pow.f64 y 2/3) (pow.f64 y 1/6)))) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) (+.f64 -1 x))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
7.1b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 2543 to 1621 computations (36.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))
0.3b
(+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)

rewrite222.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
48×log-prod_binary64
36×distribute-rgt-in_binary64 distribute-lft-in_binary64
30×cbrt-prod_binary64
26×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
24×add-cube-cbrt_binary64 associate-+l+_binary64
Counts
4 → 109
Calls

4 calls:

15.0ms
(+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
8.0ms
(*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 3872 to 2136 computations (44.8% saved)

series241.0ms (3.9%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

111.0ms
(+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y))))
68.0ms
(*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))
18.0ms
(cbrt.f64 y)
17.0ms
(cbrt.f64 y)
Compiler

Compiled 1716 to 1307 computations (23.8% saved)

simplify156.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
304×associate-+l+_binary64
292×associate-+r+_binary64
290×distribute-rgt-out_binary64
217×associate-*r*_binary64
207×associate-*l*_binary64
Counts
133 → 109
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01912654
14802140
217901874
346491862
449561862
549401862

prune161.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh213
Picked011
Done011
Total1095114
Error
0.0b
Counts
114 → 5
Alt Table
StatusErrorProgram
0.5b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 z 1) (neg.f64 y))) t)
0.2b
(-.f64 (+.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (*.f64 (-.f64 z 1) (*.f64 y (-.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 y 1/3))))))) t)
7.1b
(-.f64 (+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 -1))) (+.f64 (*.f64 3 x) -3)) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.5b
(-.f64 (+.f64 (+.f64 (*.f64 (+.f64 -1 x) (log.f64 (*.f64 (pow.f64 y 2/3) (pow.f64 y 1/6)))) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) (+.f64 -1 x))) (*.f64 (-.f64 z 1) (neg.f64 y))) t)
0.5b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 -1 x) (log.f64 (cbrt.f64 y)))) (*.f64 (*.f64 1/3 (+.f64 -1 x)) (log.f64 y))) (*.f64 (-.f64 z 1) (neg.f64 y))) t)
Compiler

Compiled 2585 to 1487 computations (42.5% saved)

regimes1.7s (27%)

Accuracy

Total 0.3b remaining (87.5%)

Threshold costs 0.3b (87.5%)

Compiler

Compiled 27340 to 20782 computations (24% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×+-commutative_binary64
10×*-commutative_binary64
9×sub-neg_binary64
5×neg-mul-1_binary64 neg-sub0_binary64
4×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02136
14036
25336
36636
48036
58336
68436
78036

end1.0ms (0%)

Compiler

Compiled 28 to 21 computations (25% saved)

sample1.5s (24.7%)

Algorithm
1×intervals
Results
466.0ms6138×body128valid
234.0ms483×body1024valid
215.0ms795×body512valid
93.0ms582×body256valid
19.0ms243×body128nan
2.0ms23×body128invalid
1.0ms2×body2048valid
Compiler

Compiled 205 to 157 computations (23.4% saved)

Profiling

Loading profile data...