Details

Time bar (total: 5.1s)

analyze219.0ms (4.3%)

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)

sample60.0ms (1.2%)

Algorithm
intervals
Results
25.0ms66×body1024valid
11.0ms149×body128valid
5.0ms256×pre128true
5.0ms24×body512valid
3.0ms17×body256valid
Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify185.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02317
12317

prune5.0ms (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)

localize12.0ms (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 (cos.f64 v))
0.1b
(*.f64 e (sin.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 (sin.f64 v))
5.0ms
(*.f64 e (cos.f64 v))

series306.0ms (6%)

Counts
3 → 9
Calls

3 calls:

179.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
67.0ms
(*.f64 e (sin.f64 v))
59.0ms
(*.f64 e (cos.f64 v))

simplify59.0ms (1.2%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05071920

prune166.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New61768
Fresh000
Picked011
Done000
Total61869

Merged error: 0.0b

Counts
69 → 8
Compiler

Compiled 2684 to 1470 computations (45.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (*.f64 e (cos.f64 v))))))
0.1b
(*.f64 e (cos.f64 v))
0.1b
(*.f64 e (sin.f64 v))
4.2b
(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64 add-cube-cbrt_binary64
associate-*r*_binary64 associate-*l*_binary64
associate-/r*_binary64 add-log-exp_binary64 log-pow_binary64 times-frac_binary64
distribute-lft-out_binary64
cbrt-unprod_binary64 log-prod_binary64 prod-exp_binary64
pow-prod-down_binary64 cbrt-undiv_binary64 associate-/r/_binary64 unswap-sqr_binary64 div-exp_binary64 *-commutative_binary64
flip3-+_binary64 rem-log-exp_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 exp-to-pow_binary64 flip-+_binary64 exp-prod_binary64
Counts
4 → 77
Calls

4 calls:

11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (*.f64 e (cos.f64 v))))))
5.0ms
(*.f64 e (cos.f64 v))
5.0ms
(*.f64 e (sin.f64 v))
2.0ms
(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))

series431.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

230.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (exp.f64 (*.f64 e (cos.f64 v))))))
76.0ms
(log.f64 (exp.f64 (*.f64 e (cos.f64 v))))
63.0ms
(*.f64 e (cos.f64 v))
62.0ms
(*.f64 e (sin.f64 v))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
051271064

prune71.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh066
Picked011
Done011
Total89897

Merged error: 0.0b

Counts
97 → 8
Compiler

Compiled 1545 to 570 computations (63.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite32.0ms (0.6%)

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:

8.0ms
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
6.0ms
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
5.0ms
(*.f64 e (cos.f64 v))

series337.0ms (6.6%)

Counts
3 → 9
Calls

3 calls:

167.0ms
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
120.0ms
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
50.0ms
(*.f64 e (cos.f64 v))

simplify103.0ms (2%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049393208
149393208

prune311.0ms (6.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1215126
Fresh235
Picked011
Done202
Total1259134

Merged error: 0.0b

Counts
134 → 9
Compiler

Compiled 5697 to 3060 computations (46.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite27.0ms (0.5%)

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:

10.0ms
(*.f64 (/.f64 e (+.f64 1 (*.f64 e (cos.f64 v)))) (sin.f64 v))
5.0ms
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
5.0ms
(*.f64 e (cos.f64 v))

series338.0ms (6.6%)

Counts
3 → 9
Calls

3 calls:

174.0ms
(*.f64 (/.f64 e (+.f64 1 (*.f64 e (cos.f64 v)))) (sin.f64 v))
108.0ms
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
57.0ms
(*.f64 e (cos.f64 v))

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049671620
149671620

prune167.0ms (3.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh077
Picked011
Done011
Total891099

Merged error: 0b

Counts
99 → 10
Compiler

Compiled 3104 to 1693 computations (45.5% saved)

regimes49.0ms (1%)

Compiler

Compiled 392 to 266 computations (32.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
11317

end0.0ms (0%)

sample2.0s (39.2%)

Algorithm
intervals
Results
768.0ms1972×body1024valid
325.0ms4526×body128valid
229.0ms976×body512valid
159.0ms8000×pre128true
80.0ms521×body256valid
4.0msbody2048valid
Compiler

Compiled 220 to 152 computations (30.9% saved)

Profiling

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