Details

Time bar (total: 5.7s)

analyze551.0ms (9.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 52 to 45 computations (13.5% saved)

sample40.0ms (0.7%)

Algorithm
1×intervals
Results
32.0ms256×body80valid
Compiler

Compiled 103 to 90 computations (12.6% saved)

simplify103.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
0527940

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 105 to 92 computations (12.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite109.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
96×*-un-lft-identity_binary64
48×times-frac_binary64
34×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
31×distribute-lft-out_binary64
12×associate-/r*_binary64 associate-/l*_binary64
10×add-exp-log_binary64 add-cbrt-cube_binary64
7×flip3-+_binary64 flip-+_binary64
6×associate-/l/_binary64 add-log-exp_binary64 associate-/r/_binary64
4×pow1_binary64 insert-posit16
3×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
1×+-commutative_binary64 sum-log_binary64
Counts
4 → 136
Calls

4 calls:

51.0ms
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
20.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
19.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
13.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)

series169.0ms (3%)

Counts
4 → 12
Calls

4 calls:

73.0ms
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
41.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
33.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
20.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)

simplify295.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051814664

prune362.0ms (6.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1453148
Fresh011
Picked101
Done000
Total1464150

Merged error: 0b

Counts
150 → 4
Compiler

Compiled 5669 to 4847 computations (14.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6))
0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.5b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t)))
15.4b
(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))

rewrite128.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
107×*-un-lft-identity_binary64
69×times-frac_binary64
62×add-sqr-sqrt_binary64
45×add-cube-cbrt_binary64
26×associate-*l*_binary64
25×distribute-lft-out_binary64
20×difference-of-squares_binary64
15×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/r*_binary64 associate-/l*_binary64
8×associate-/r/_binary64
6×associate-/l/_binary64 pow1_binary64 associate-*r*_binary64
5×flip3-+_binary64 flip-+_binary64
4×add-log-exp_binary64 flip3--_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 insert-posit16 flip--_binary64
3×clear-num_binary64 frac-2neg_binary64
2×sub-neg_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 frac-times_binary64
1×pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 178
Calls

4 calls:

50.0ms
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6))
29.0ms
(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))
22.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
19.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t)))

series256.0ms (4.5%)

Counts
4 → 12
Calls

4 calls:

116.0ms
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t)) 6))
59.0ms
(*.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t))) (-.f64 1 t))
47.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (*.f64 t t)))
33.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

simplify151.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
048926441
148926441

prune520.0ms (9.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1900190
Fresh033
Picked011
Done000
Total1904194

Merged error: 0b

Counts
194 → 4
Compiler

Compiled 8499 to 6780 computations (20.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
1.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite128.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 add-log-exp_binary64 difference-of-squares_binary64 times-frac_binary64
4×sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-out--_binary64 insert-posit16 flip--_binary64
Counts
4 → 64
Calls

4 calls:

33.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
31.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
30.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series115.0ms (2%)

Counts
4 → 12
Calls

4 calls:

30.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
30.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
29.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
26.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify121.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
052181464

prune235.0ms (4.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0b

Counts
80 → 4
Compiler

Compiled 4266 to 3615 computations (15.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b
(exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))

rewrite160.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
115×*-un-lft-identity_binary64
64×times-frac_binary64
44×exp-prod_binary64
43×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
36×distribute-lft-out_binary64
23×log-pow_binary64
8×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64 associate-/l*_binary64
6×flip3-+_binary64 flip-+_binary64
5×add-log-exp_binary64 pow1_binary64
4×associate-/l/_binary64 div-inv_binary64 insert-posit16
3×log-prod_binary64
2×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64
1×rem-log-exp_binary64 rem-exp-log_binary64
Counts
4 → 148
Calls

4 calls:

58.0ms
(exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
55.0ms
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))
20.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
19.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

series224.0ms (4%)

Counts
4 → 12
Calls

4 calls:

79.0ms
(exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
78.0ms
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 5) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))
34.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
33.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

simplify131.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
048404852
148404852

prune450.0ms (7.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh011
Picked011
Done022
Total1604164

Merged error: 0b

Counts
164 → 4
Compiler

Compiled 6587 to 5673 computations (13.9% saved)

regimes89.0ms (1.6%)

Compiler

Compiled 1040 to 906 computations (12.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04549
14549

end0.0ms (0%)

sample1.3s (22.3%)

Algorithm
1×intervals
Results
958.0ms8000×body80valid
Compiler

Compiled 255 to 222 computations (12.9% saved)

Profiling

Loading profile data...