Details

Time bar (total: 9.0s)

analyze895.0ms (10%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05022
15022
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
37.5%62.5%0%4
43.7%56.2%0%5
46.9%53.1%0%6
48.4%51.5%0%7
49.2%50.8%0%8
49.6%50.4%0%9
49.8%50.2%0%10
49.9%50.1%0%11
49.9%50%0%12
50%50%0%13
50%49.9%0%14
Compiler

Compiled 17 to 15 computations (11.8% saved)

sample64.0ms (0.7%)

Algorithm
1×intervals
Results
22.0ms54×body1024valid
19.0ms155×body128valid
11.0ms38×body512valid
2.0ms9×body256valid
Compiler

Compiled 33 to 30 computations (9.1% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05022
15022

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
17.1b
Counts
2 → 1
Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
0.4b
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
16.9b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))

rewrite123.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
19×add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
10×pow1_binary64_19235 add-sqr-sqrt_binary64_19196
8×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174
7×prod-exp_binary64_19223 cbrt-unprod_binary64_19207
6×associate-*l*_binary64_19115
4×pow-prod-down_binary64_19245 associate-*r*_binary64_19114
3×div-exp_binary64_19225 add-log-exp_binary64_19213 cbrt-undiv_binary64_19208 times-frac_binary64_19180 associate-/r*_binary64_19118
2×*-commutative_binary64_19105
1×frac-2neg_binary64_19185 clear-num_binary64_19173 div-inv_binary64_19171 associate-/l*_binary64_19119 unswap-sqr_binary64_19142
Counts
3 → 59
Calls

3 calls:

9.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
7.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
5.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 1330 to 993 computations (25.3% saved)

series170.0ms (1.9%)

Error
0.3b
Counts
3 → 17
Calls

3 calls:

73.0ms
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
47.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
33.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 579 to 472 computations (18.5% saved)

simplify89.0ms (1%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049071188
149071188

prune108.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New611576
Fresh000
Picked101
Done000
Total621577
Error
0.1b
Counts
77 → 15
Compiler

Compiled 1517 to 1152 computations (24.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
0.3b
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
0.4b
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))

rewrite106.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
19×add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
14×add-sqr-sqrt_binary64_19196
10×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174 associate-*r*_binary64_19114
7×pow1_binary64_19235
6×prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*l*_binary64_19115 times-frac_binary64_19180
4×div-exp_binary64_19225 cbrt-undiv_binary64_19208
3×add-log-exp_binary64_19213 associate-/r*_binary64_19118
2×pow-prod-down_binary64_19245 unswap-sqr_binary64_19142 *-commutative_binary64_19105 div-inv_binary64_19171
1×frac-2neg_binary64_19185 clear-num_binary64_19173 associate-/l*_binary64_19119 associate-*r/_binary64_19116
Counts
3 → 66
Calls

3 calls:

9.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
5.0ms
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
5.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 1482 to 1080 computations (27.1% saved)

series174.0ms (1.9%)

Error
0.1b
Counts
3 → 18
Calls

3 calls:

69.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
55.0ms
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
34.0ms
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 610 to 502 computations (17.7% saved)

simplify82.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049081385
149081385

prune112.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New76884
Fresh8614
Picked101
Done000
Total851499
Error
0.0b
Counts
99 → 14
Compiler

Compiled 1762 to 1326 computations (24.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))
0.2b
(*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
0.3b
(/.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))

rewrite398.0ms (4.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
34×add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
20×add-sqr-sqrt_binary64_19196
14×prod-exp_binary64_19223 add-cube-cbrt_binary64_19209 cbrt-unprod_binary64_19207 *-un-lft-identity_binary64_19174 associate-*r*_binary64_19114
13×pow1_binary64_19235
12×associate-*l*_binary64_19115
7×sqrt-prod_binary64_19190
6×div-exp_binary64_19225 cbrt-undiv_binary64_19208 times-frac_binary64_19180
5×pow-prod-down_binary64_19245
4×add-log-exp_binary64_19213
3×associate-/r*_binary64_19118 unswap-sqr_binary64_19142 *-commutative_binary64_19105
2×div-inv_binary64_19171
1×frac-2neg_binary64_19185 clear-num_binary64_19173 associate-/l*_binary64_19119 associate-*r/_binary64_19116
Counts
4 → 95
Calls

4 calls:

203.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))
12.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
9.0ms
(/.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
8.0ms
(*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
Compiler

Compiled 2640 to 2092 computations (20.8% saved)

series354.0ms (3.9%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

113.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x)))
98.0ms
(/.f64 (*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sin.f64 x))
64.0ms
(*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
45.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))
Compiler

Compiled 1316 to 1156 computations (12.2% saved)

simplify70.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050101959

prune163.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh31013
Picked101
Done000
Total11914133
Error
0b
Counts
133 → 14
Compiler

Compiled 2618 to 2038 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
0.2b
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))

rewrite308.0ms (3.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
153×times-frac_binary64_19180
98×add-sqr-sqrt_binary64_19196
89×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174
44×associate-*r*_binary64_19114
19×add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
16×associate-/r*_binary64_19118
10×div-inv_binary64_19171
7×div-exp_binary64_19225 cbrt-undiv_binary64_19208
6×associate-/l*_binary64_19119
5×pow1_binary64_19235
3×prod-exp_binary64_19223 add-log-exp_binary64_19213 cbrt-unprod_binary64_19207 unswap-sqr_binary64_19142 associate-*l*_binary64_19115
2×associate-/r/_binary64_19120 frac-2neg_binary64_19185 clear-num_binary64_19173
1×pow-prod-down_binary64_19245 associate-*r/_binary64_19116 *-commutative_binary64_19105
Counts
3 → 163
Calls

3 calls:

17.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
7.0ms
(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
4.0ms
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 4333 to 3124 computations (27.9% saved)

series185.0ms (2.1%)

Error
0b
Counts
3 → 18
Calls

3 calls:

74.0ms
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
53.0ms
(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
44.0ms
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 586 to 498 computations (15% saved)

simplify114.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049224274
149224274

prune229.0ms (2.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1783181
Fresh5813
Picked101
Done000
Total18411195
Error
0b
Counts
195 → 11
Compiler

Compiled 4130 to 2953 computations (28.5% saved)

regimes475.0ms (5.3%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 5094 to 4312 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01829
11829

end0.0ms (0%)

sample4.7s (52.4%)

Algorithm
1×intervals
Results
913.0ms2025×body1024valid
452.0ms4437×body128valid
294.0ms1000×body512valid
112.0ms530×body256valid
6.0ms8×body2048valid
Compiler

Compiled 2581 to 2187 computations (15.3% saved)

Profiling

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