Details

Time bar (total: 3.1s)

analyze86.0ms (2.7%)

Algorithm
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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample27.0ms (0.9%)

Algorithm
intervals
Results
8.0ms47×body1024valid
8.0ms171×body128valid
3.0ms24×body512valid
1.0ms14×body256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify98.0ms (3.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0179
1179

prune2.0ms (0.1%)

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 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)

rewrite15.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_3169
19×times-frac_binary64_3153
18×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
13×associate-*r*_binary64_3087
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
pow1_binary64_3208
associate-/r*_binary64_3091 associate-/l*_binary64_3092 associate-*l*_binary64_3088
unswap-sqr_binary64_3115 prod-exp_binary64_3196 cbrt-undiv_binary64_3181 cbrt-unprod_binary64_3180 div-exp_binary64_3198 add-log-exp_binary64_3186 div-inv_binary64_3144
*-commutative_binary64_3078 clear-num_binary64_3146 pow-prod-down_binary64_3218 frac-2neg_binary64_3158 associate-*r/_binary64_3089
Counts
2 → 59
Calls

2 calls:

8.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)

series122.0ms (3.9%)

Counts
2 → 9
Calls

2 calls:

104.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
18.0ms
(/.f64 (sin.f64 y) y)

simplify81.0ms (2.6%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05236800

prune62.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New61768
Fresh000
Picked101
Done000
Total62769

Merged error: 0b

Counts
69 → 7
Compiler

Compiled 830 to 220 computations (73.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b
(/.f64 y (sin.f64 y))
0.3b
(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite47.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
156×times-frac_binary64_3153
103×add-sqr-sqrt_binary64_3169
91×*-un-lft-identity_binary64_3147
89×add-cube-cbrt_binary64_3182
44×associate-*r*_binary64_3087
35×add-exp-log_binary64_3185
19×add-cbrt-cube_binary64_3183
16×associate-/r*_binary64_3091
15×div-exp_binary64_3198
10×div-inv_binary64_3144
prod-exp_binary64_3196 cbrt-undiv_binary64_3181
pow1_binary64_3208 associate-/l*_binary64_3092
unswap-sqr_binary64_3115
1-exp_binary64_3191 rec-exp_binary64_3197
cbrt-unprod_binary64_3180 add-log-exp_binary64_3186 associate-*l*_binary64_3088
clear-num_binary64_3146 frac-2neg_binary64_3158 associate-/r/_binary64_3093
*-commutative_binary64_3078 pow-prod-down_binary64_3218 inv-pow_binary64_3232 pow-flip_binary64_3221 un-div-inv_binary64_3145 associate-*r/_binary64_3089
Counts
3 → 176
Calls

3 calls:

18.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms
(/.f64 y (sin.f64 y))

series151.0ms (4.8%)

Counts
3 → 12
Calls

3 calls:

107.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
26.0ms
(/.f64 y (sin.f64 y))
18.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

simplify84.0ms (2.7%)

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049282663
149282663

prune138.0ms (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1880188
Fresh066
Picked011
Done000
Total1887195

Merged error: 0b

Counts
195 → 7
Compiler

Compiled 2692 to 873 computations (67.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
0.3b
(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite21.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64_3185
18×add-sqr-sqrt_binary64_3169
16×add-cbrt-cube_binary64_3183
14×associate-*r*_binary64_3087
13×prod-exp_binary64_3196
12×*-un-lft-identity_binary64_3147
11×times-frac_binary64_3153 add-cube-cbrt_binary64_3182
pow1_binary64_3208
cbrt-unprod_binary64_3180
associate-*l*_binary64_3088
pow-prod-down_binary64_3218 div-exp_binary64_3198 associate-*r/_binary64_3089
unswap-sqr_binary64_3115
*-commutative_binary64_3078 cbrt-undiv_binary64_3181 add-log-exp_binary64_3186 un-div-inv_binary64_3145 1-exp_binary64_3191 rec-exp_binary64_3197
div-inv_binary64_3144
Counts
2 → 60
Calls

2 calls:

9.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))
8.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))

series130.0ms (4.2%)

Counts
2 → 9
Calls

2 calls:

108.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
21.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

simplify45.0ms (1.4%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05001681

prune44.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done011
Total69776

Merged error: 0b

Counts
76 → 7
Compiler

Compiled 768 to 272 computations (64.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))

rewrite18.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3178
23×add-sqr-sqrt_binary64_3169
15×*-un-lft-identity_binary64_3147 add-cube-cbrt_binary64_3182
11×pow1_binary64_3208
pow1/3_binary64_3229
add-exp-log_binary64_3185 swap-sqr_binary64_3114 associate-*r*_binary64_3087 associate-*l*_binary64_3088
unswap-sqr_binary64_3115 add-cbrt-cube_binary64_3183 add-log-exp_binary64_3186
pow-prod-down_binary64_3218 pow-prod-up_binary64_3217 pow-sqr_binary64_3120
*-commutative_binary64_3078 prod-exp_binary64_3196 pow-plus_binary64_3210 pow2_binary64_3228 cbrt-unprod_binary64_3180
Counts
4 → 73
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms
(cbrt.f64 (sin.f64 y))
2.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))

series287.0ms (9.2%)

Counts
4 → 12
Calls

4 calls:

82.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
78.0ms
(cbrt.f64 (sin.f64 y))
65.0ms
(cbrt.f64 (sin.f64 y))
62.0ms
(cbrt.f64 (sin.f64 y))

simplify55.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04851753
14851753

prune64.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7
Compiler

Compiled 1499 to 385 computations (74.3% saved)

regimes229.0ms (7.3%)

Compiler

Compiled 1825 to 1134 computations (37.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
169

end0.0ms (0%)

sample1.3s (41.2%)

Algorithm
intervals
Results
254.0ms5321×body128valid
233.0ms1310×body1024valid
121.0ms887×body512valid
44.0ms480×body256valid
1.0msbody2048valid
Compiler

Compiled 428 to 270 computations (36.9% saved)

Profiling

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