Details

Time bar (total: 2.9s)

analyze80.0ms (2.7%)

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
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)

sample35.0ms (1.2%)

Algorithm
1×intervals
Results
16.0ms173×body128valid
7.0ms40×body1024valid
3.0ms24×body512valid
2.0ms19×body256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify88.0ms (3%)

Algorithm
1×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
Error
0.1b
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 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))

rewrite16.0ms (0.6%)

Algorithm
1×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
9×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
4×pow1_binary64_3208
3×associate-/r*_binary64_3091 associate-/l*_binary64_3092 associate-*l*_binary64_3088
2×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
1×*-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:

9.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)

series73.0ms (2.5%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
20.0ms
(/.f64 (sin.f64 y) y)

simplify69.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05007782

prune51.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59665
Fresh000
Picked011
Done000
Total59766
Error
0.0b
Counts
66 → 7
Compiler

Compiled 796 to 218 computations (72.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite45.0ms (1.5%)

Algorithm
1×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
7×prod-exp_binary64_3196 cbrt-undiv_binary64_3181
6×pow1_binary64_3208 associate-/l*_binary64_3092
5×unswap-sqr_binary64_3115
4×1-exp_binary64_3191 rec-exp_binary64_3197
3×cbrt-unprod_binary64_3180 add-log-exp_binary64_3186 associate-*l*_binary64_3088
2×clear-num_binary64_3146 frac-2neg_binary64_3158 associate-/r/_binary64_3093
1×*-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))))
7.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms
(/.f64 y (sin.f64 y))

series101.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

54.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
28.0ms
(/.f64 y (sin.f64 y))
19.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

simplify99.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049542654
149542654

prune123.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1841185
Fresh235
Picked011
Done011
Total1866192
Error
0b
Counts
192 → 6
Compiler

Compiled 2651 to 870 computations (67.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (sin.f64 y))
0.7b
(cbrt.f64 (sin.f64 y))
4.8b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))

rewrite31.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
25×add-exp-log_binary64_3185
22×associate-*r*_binary64_3087
20×*-un-lft-identity_binary64_3147 add-sqr-sqrt_binary64_3169 add-cube-cbrt_binary64_3182
18×times-frac_binary64_3153 add-cbrt-cube_binary64_3183 cbrt-prod_binary64_3178
13×pow1_binary64_3208
12×prod-exp_binary64_3196 cbrt-unprod_binary64_3180
6×pow-prod-down_binary64_3218
4×add-log-exp_binary64_3186
3×pow1/3_binary64_3229 cbrt-undiv_binary64_3181 div-exp_binary64_3198
1×*-commutative_binary64_3078 associate-*l*_binary64_3088 associate-*r/_binary64_3089 div-inv_binary64_3144
Counts
4 → 80
Calls

4 calls:

19.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 (sin.f64 y))

series271.0ms (9.3%)

Counts
4 → 12
Calls

4 calls:

76.0ms
(cbrt.f64 (sin.f64 y))
73.0ms
(cbrt.f64 (sin.f64 y))
70.0ms
(cbrt.f64 (sin.f64 y))
52.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))

simplify75.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049551127
149551127

prune64.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done022
Total92698
Error
0b
Counts
98 → 6
Compiler

Compiled 1527 to 413 computations (73% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 1 (sin.f64 y))
0.3b
(/.f64 1 (/.f64 1 (sin.f64 y)))
5.8b
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))

rewrite65.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
186×times-frac_binary64_3153
140×add-sqr-sqrt_binary64_3169
105×*-un-lft-identity_binary64_3147 add-exp-log_binary64_3185
95×add-cube-cbrt_binary64_3182
57×div-exp_binary64_3198
44×associate-*r*_binary64_3087
31×add-cbrt-cube_binary64_3183
26×prod-exp_binary64_3196
22×1-exp_binary64_3191 rec-exp_binary64_3197
16×associate-/r*_binary64_3091
14×unswap-sqr_binary64_3115
13×cbrt-undiv_binary64_3181 associate-*l*_binary64_3088
11×div-inv_binary64_3144
8×pow1_binary64_3208
6×cbrt-unprod_binary64_3180 associate-/l*_binary64_3092
5×pow-flip_binary64_3221
3×inv-pow_binary64_3232 add-log-exp_binary64_3186
2×clear-num_binary64_3146 frac-2neg_binary64_3158 associate-/r/_binary64_3093
1×*-commutative_binary64_3078 frac-times_binary64_3157 pow-prod-down_binary64_3218 associate-*l/_binary64_3090 remove-double-div_binary64_3123 un-div-inv_binary64_3145 associate-*r/_binary64_3089
Counts
3 → 232
Calls

3 calls:

30.0ms
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))
7.0ms
(/.f64 1 (/.f64 1 (sin.f64 y)))
4.0ms
(/.f64 1 (sin.f64 y))

series72.0ms (2.4%)

Counts
3 → 9
Calls

3 calls:

46.0ms
(*.f64 (/.f64 x y) (/.f64 1 (/.f64 1 (sin.f64 y))))
19.0ms
(/.f64 1 (sin.f64 y))
6.0ms
(/.f64 1 (/.f64 1 (sin.f64 y)))

simplify119.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
049123028
149123028

prune157.0ms (5.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2410241
Fresh022
Picked011
Done033
Total2416247
Error
0b
Counts
247 → 6
Compiler

Compiled 3272 to 1301 computations (60.2% saved)

regimes163.0ms (5.6%)

Accuracy

Total 0.1b remaining (98.7%)

Threshold costs 0.1b (98.7%)

Compiler

Compiled 1277 to 838 computations (34.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
169

end0.0ms (0%)

sample1.1s (37.6%)

Algorithm
1×intervals
Results
254.0ms5389×body128valid
224.0ms1264×body1024valid
106.0ms843×body512valid
50.0ms502×body256valid
1.0ms2×body2048valid
Compiler

Compiled 281 to 190 computations (32.4% saved)

Profiling

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