Details

Time bar (total: 30.2s)

analyze1.5s (4.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample187.0ms (0.6%)

Algorithm
1×intervals
Results
71.0ms53×body1024valid
45.0ms152×body128valid
26.0ms35×body512valid
4.0ms15×body256valid
2.0ms1×body2048valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify408.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
015914
115914

prune11.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize82.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

rewrite98.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_6238
6×associate-*r*_binary64_6156 *-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 associate-*l*_binary64_6157 add-cbrt-cube_binary64_6252 pow1_binary64_6277 add-exp-log_binary64_6254
2×unswap-sqr_binary64_6184 prod-exp_binary64_6265 pow-prod-down_binary64_6287 cbrt-unprod_binary64_6249 *-commutative_binary64_6147 add-log-exp_binary64_6255
Counts
2 → 36
Calls

2 calls:

66.0ms
(*.f64 z (sin.f64 y))
18.0ms
(*.f64 x (cos.f64 y))

series321.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

175.0ms
(*.f64 z (sin.f64 y))
137.0ms
(*.f64 x (cos.f64 y))

simplify231.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (193.0ms)

IterNodesCost
04986341
14986341

prune479.0ms (1.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New241842
Fresh000
Picked011
Done000
Total241943

Merged error: 0.1b

Counts
43 → 19
Compiler

Compiled 787 to 305 computations (61.2% saved)

localize39.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

rewrite43.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_6238
6×associate-*r*_binary64_6156 *-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 associate-*l*_binary64_6157 add-cbrt-cube_binary64_6252 pow1_binary64_6277 add-exp-log_binary64_6254
2×unswap-sqr_binary64_6184 prod-exp_binary64_6265 pow-prod-down_binary64_6287 cbrt-unprod_binary64_6249 *-commutative_binary64_6147 add-log-exp_binary64_6255
Counts
2 → 36
Calls

2 calls:

23.0ms
(*.f64 x (cos.f64 y))
13.0ms
(*.f64 z (sin.f64 y))

series244.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

128.0ms
(*.f64 x (cos.f64 y))
116.0ms
(*.f64 z (sin.f64 y))

simplify190.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (162.0ms)

IterNodesCost
04986341
14986341

prune709.0ms (2.3%)

Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New251742
Fresh21517
Picked011
Done011
Total273461

Merged error: 0.1b

Counts
61 → 34
Compiler

Compiled 1107 to 570 computations (48.5% saved)

localize49.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

rewrite45.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_6238
6×associate-*r*_binary64_6156 *-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 associate-*l*_binary64_6157 add-cbrt-cube_binary64_6252 pow1_binary64_6277 add-exp-log_binary64_6254
2×unswap-sqr_binary64_6184 prod-exp_binary64_6265 pow-prod-down_binary64_6287 cbrt-unprod_binary64_6249 *-commutative_binary64_6147 add-log-exp_binary64_6255
Counts
2 → 36
Calls

2 calls:

21.0ms
(*.f64 z (sin.f64 y))
15.0ms
(*.f64 x (cos.f64 y))

series256.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

129.0ms
(*.f64 z (sin.f64 y))
127.0ms
(*.f64 x (cos.f64 y))

simplify213.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (172.0ms)

IterNodesCost
04986341
14986341

prune777.0ms (2.6%)

Pruning

48 alts after pruning (45 fresh and 3 done)

PrunedKeptTotal
New261642
Fresh22931
Picked011
Done022
Total284876

Merged error: 0.1b

Counts
76 → 48
Compiler

Compiled 1439 to 841 computations (41.6% saved)

localize53.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (cos.f64 y))
0.1b
(*.f64 z (sin.f64 y))

rewrite43.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_6238
6×associate-*r*_binary64_6156 *-un-lft-identity_binary64_6216 add-cube-cbrt_binary64_6251 associate-*l*_binary64_6157 add-cbrt-cube_binary64_6252 pow1_binary64_6277 add-exp-log_binary64_6254
2×unswap-sqr_binary64_6184 prod-exp_binary64_6265 pow-prod-down_binary64_6287 cbrt-unprod_binary64_6249 *-commutative_binary64_6147 add-log-exp_binary64_6255
Counts
2 → 36
Calls

2 calls:

18.0ms
(*.f64 z (sin.f64 y))
17.0ms
(*.f64 x (cos.f64 y))

series227.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

118.0ms
(*.f64 z (sin.f64 y))
109.0ms
(*.f64 x (cos.f64 y))

simplify213.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (176.0ms)

IterNodesCost
04986341
14986341

prune701.0ms (2.3%)

Pruning

61 alts after pruning (57 fresh and 4 done)

PrunedKeptTotal
New271542
Fresh24244
Picked011
Done033
Total296190

Merged error: 0.1b

Counts
90 → 61
Compiler

Compiled 774 to 382 computations (50.6% saved)

regimes3.6s (12%)

Compiler

Compiled 7364 to 5794 computations (21.3% saved)

bsearch3.9s (13.1%)

simplify14.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03914
13914

end0.0ms (0%)

sample15.5s (51.3%)

Algorithm
1×intervals
Results
4.1s1935×body1024valid
1.1s4490×body128valid
845.0ms1045×body512valid
258.0ms524×body256valid
18.0ms6×body2048valid
Compiler

Compiled 1870 to 1471 computations (21.3% saved)

Pareto

0

Profiling

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