Details

Time bar (total: 4.9s)

analyze220.0ms (4.5%)

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)

sample57.0ms (1.2%)

Algorithm
intervals
Results
23.0ms62×body1024valid
10.0ms152×body128valid
6.0ms28×body512valid
5.0ms256×pre128true
2.0ms14×body256valid
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify188.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02417
12417

prune4.0ms (0.1%)

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)

localize11.0ms (0.2%)

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 (sin.f64 v))
0.2b
(*.f64 e (cos.f64 v))

rewrite23.0ms (0.5%)

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:

7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
6.0ms
(*.f64 e (cos.f64 v))
5.0ms
(*.f64 e (sin.f64 v))

series304.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

174.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
67.0ms
(*.f64 e (sin.f64 v))
62.0ms
(*.f64 e (cos.f64 v))

simplify60.0ms (1.2%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05072920

prune186.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New60868
Fresh000
Picked101
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8
Compiler

Compiled 3101 to 1707 computations (45% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1)))
0.2b
(*.f64 e (cos.f64 v))

rewrite31.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×times-frac_binary64
18×associate-*r*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-*l*_binary64
associate-/r/_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 *-commutative_binary64
associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64
Counts
3 → 81
Calls

3 calls:

12.0ms
(*.f64 e (/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1)))
7.0ms
(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
5.0ms
(*.f64 e (cos.f64 v))

series363.0ms (7.4%)

Counts
3 → 9
Calls

3 calls:

172.0ms
(*.f64 e (/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1)))
136.0ms
(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
55.0ms
(*.f64 e (cos.f64 v))

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049971715
149971715

prune152.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh167
Picked011
Done000
Total89998

Merged error: 0.0b

Counts
98 → 9
Compiler

Compiled 2904 to 1516 computations (47.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.2b
(*.f64 e (cos.f64 v))
0.2b
(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite34.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
57×add-sqr-sqrt_binary64
55×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×associate-/r*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64 div-inv_binary64
pow1_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64
associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-unprod_binary64 associate-/r/_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
3 → 117
Calls

3 calls:

11.0ms
(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
7.0ms
(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
5.0ms
(*.f64 e (cos.f64 v))

series366.0ms (7.5%)

Counts
3 → 9
Calls

3 calls:

173.0ms
(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))
137.0ms
(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
56.0ms
(*.f64 e (cos.f64 v))

simplify101.0ms (2.1%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049333208
149333208

prune213.0ms (4.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh347
Picked011
Done101
Total1269135

Merged error: 0.0b

Counts
135 → 9
Compiler

Compiled 4299 to 2172 computations (49.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
0.1b
(*.f64 (/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1)) (sin.f64 v))
0.2b
(*.f64 e (cos.f64 v))

rewrite31.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
21×*-un-lft-identity_binary64 add-cube-cbrt_binary64
19×times-frac_binary64
18×associate-*l*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
associate-*r*_binary64
associate-/r/_binary64
associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64
pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 *-commutative_binary64
clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64
Counts
3 → 81
Calls

3 calls:

13.0ms
(*.f64 (/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1)) (sin.f64 v))
6.0ms
(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
5.0ms
(*.f64 e (cos.f64 v))

series347.0ms (7%)

Counts
3 → 9
Calls

3 calls:

175.0ms
(*.f64 (/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1)) (sin.f64 v))
118.0ms
(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
54.0ms
(*.f64 e (cos.f64 v))

simplify80.0ms (1.6%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
051121620

prune84.0ms (1.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh077
Picked011
Done011
Total90999

Merged error: 0.0b

Counts
99 → 9
Compiler

Compiled 1831 to 847 computations (53.7% saved)

regimes43.0ms (0.9%)

Compiler

Compiled 304 to 222 computations (27% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11417

end0.0ms (0%)

sample1.9s (39.1%)

Algorithm
intervals
Results
743.0ms2001×body1024valid
309.0ms4480×body128valid
227.0ms987×body512valid
155.0ms8000×pre128true
81.0ms525×body256valid
6.0msbody2048valid
Compiler

Compiled 176 to 130 computations (26.1% saved)

Profiling

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