Details

Time bar (total: 36.2s)

analyze681.0ms (1.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
24.8%0.2%75%13
24.9%0.1%75%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample131.0ms (0.4%)

Algorithm
intervals
Results
42.0ms69×body1024valid
20.0ms138×body128valid
16.0ms30×body512valid
10.0ms256×pre128true
5.0ms19×body256valid
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify337.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
02417
12417

prune16.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize44.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b
(*.f64 e (cos.f64 v))
0.1b
(*.f64 e (sin.f64 v))

rewrite97.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow1_binary64
associate-*r*_binary64 associate-*l*_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 times-frac_binary64
pow-prod-down_binary64 cbrt-undiv_binary64 associate-/r/_binary64 unswap-sqr_binary64 div-exp_binary64 *-commutative_binary64
flip3-+_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 flip-+_binary64
Counts
3 → 59
Calls

3 calls:

23.0ms
(*.f64 e (sin.f64 v))
22.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
20.0ms
(*.f64 e (cos.f64 v))

series369.0ms (1%)

Counts
3 → 9
Calls

3 calls:

179.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
137.0ms
(*.f64 e (sin.f64 v))
53.0ms
(*.f64 e (cos.f64 v))

simplify401.0ms (1.1%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (342.0ms)

IterNodesCost
04947920
14947920

prune884.0ms (2.4%)

Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New373168
Fresh000
Picked101
Done000
Total383169

Merged error: 0.0b

Counts
69 → 31
Compiler

Compiled 1650 to 785 computations (52.4% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 e (cos.f64 v))
0.1b
(*.f64 e (pow.f64 (cos.f64 v) 2))
0.1b
(*.f64 e (sin.f64 v))
0.3b
(pow.f64 (cos.f64 v) 2)

rewrite46.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
14×associate-*r*_binary64 add-exp-log_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×add-cbrt-cube_binary64
pow1_binary64 associate-*l*_binary64
unpow-prod-down_binary64
unswap-sqr_binary64
prod-exp_binary64
add-log-exp_binary64
pow-unpow_binary64 cbrt-unprod_binary64 unpow2_binary64 sqr-pow_binary64 *-commutative_binary64
pow-to-exp_binary64 pow-prod-down_binary64 pow-exp_binary64
pow-pow_binary64
Counts
4 → 81
Calls

4 calls:

12.0ms
(*.f64 e (pow.f64 (cos.f64 v) 2))
9.0ms
(*.f64 e (sin.f64 v))
8.0ms
(*.f64 e (cos.f64 v))
6.0ms
(pow.f64 (cos.f64 v) 2)

series263.0ms (0.7%)

Counts
4 → 12
Calls

4 calls:

99.0ms
(*.f64 e (pow.f64 (cos.f64 v) 2))
77.0ms
(*.f64 e (sin.f64 v))
48.0ms
(*.f64 e (cos.f64 v))
39.0ms
(pow.f64 (cos.f64 v) 2)

simplify153.0ms (0.4%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
04937793
14937793

prune1.7s (4.8%)

Pruning

50 alts after pruning (49 fresh and 1 done)

PrunedKeptTotal
New732093
Fresh12930
Picked011
Done000
Total7450124

Merged error: 0.0b

Counts
124 → 50
Compiler

Compiled 3428 to 1799 computations (47.5% saved)

localize78.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (cbrt.f64 (cos.f64 v)) 2)
0.3b
(cbrt.f64 (cos.f64 v))
0.3b
(cbrt.f64 (cos.f64 v))
0.5b
(pow.f64 (cbrt.f64 (cos.f64 v)) 4)

rewrite61.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64 unpow-prod-down_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
pow-unpow_binary64 pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 pow1/3_binary64 pow-pow_binary64 add-cbrt-cube_binary64
pow-to-exp_binary64 sqr-pow_binary64 pow-exp_binary64
unpow2_binary64
Counts
4 → 65
Calls

4 calls:

18.0ms
(pow.f64 (cbrt.f64 (cos.f64 v)) 2)
13.0ms
(pow.f64 (cbrt.f64 (cos.f64 v)) 4)
8.0ms
(cbrt.f64 (cos.f64 v))
3.0ms
(cbrt.f64 (cos.f64 v))

series819.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

307.0ms
(pow.f64 (cbrt.f64 (cos.f64 v)) 4)
251.0ms
(pow.f64 (cbrt.f64 (cos.f64 v)) 2)
134.0ms
(cbrt.f64 (cos.f64 v))
127.0ms
(cbrt.f64 (cos.f64 v))

simplify137.0ms (0.4%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
04866691
14866691

prune1.8s (4.9%)

Pruning

55 alts after pruning (53 fresh and 2 done)

PrunedKeptTotal
New69877
Fresh34548
Picked011
Done011
Total7255127

Merged error: 0.0b

Counts
127 → 55
Compiler

Compiled 3703 to 2007 computations (45.8% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (cos.f64 v))
0.3b
(cbrt.f64 (cos.f64 v))
0.3b
(cbrt.f64 (cos.f64 v))
0.5b
(pow.f64 (cbrt.f64 (cos.f64 v)) 4)

rewrite30.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
add-log-exp_binary64 pow1/3_binary64 add-cbrt-cube_binary64
pow-unpow_binary64
pow-pow_binary64
pow-to-exp_binary64 sqr-pow_binary64 pow-exp_binary64
Counts
4 → 54
Calls

4 calls:

9.0ms
(pow.f64 (cbrt.f64 (cos.f64 v)) 4)
3.0ms
(cbrt.f64 (cos.f64 v))
3.0ms
(cbrt.f64 (cos.f64 v))
3.0ms
(cbrt.f64 (cos.f64 v))

series621.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

264.0ms
(pow.f64 (cbrt.f64 (cos.f64 v)) 4)
128.0ms
(cbrt.f64 (cos.f64 v))
124.0ms
(cbrt.f64 (cos.f64 v))
104.0ms
(cbrt.f64 (cos.f64 v))

simplify140.0ms (0.4%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
05077575

prune1.6s (4.5%)

Pruning

60 alts after pruning (57 fresh and 3 done)

PrunedKeptTotal
New58866
Fresh34952
Picked011
Done022
Total6160121

Merged error: 0.0b

Counts
121 → 60
Compiler

Compiled 2397 to 926 computations (61.4% saved)

regimes3.6s (9.8%)

Compiler

Compiled 17285 to 11886 computations (31.2% saved)

bsearch3.8s (10.5%)

simplify14.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
09646
19646

end0.0ms (0%)

sample18.3s (50.6%)

Algorithm
intervals
Results
1.4s2050×body1024valid
805.0ms4429×body128valid
550.0ms1046×body512valid
367.0ms8000×pre128true
172.0ms467×body256valid
11.0msbody2048valid
Compiler

Compiled 5786 to 3979 computations (31.2% saved)

Pareto

0

Profiling

Loading profile data...