Details

Time bar (total: 2.9s)

analyze179.0ms (6.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918
022
122
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)

sample34.0ms (1.2%)

Algorithm
intervals
Results
14.0ms44×body1024valid
8.0ms173×body128valid
4.0ms28×body512valid
1.0ms11×body256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.2%)

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
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 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_4192
19×times-frac_binary64_4176
18×*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
13×associate-*r*_binary64_4110
add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206
pow1_binary64_4231
associate-*l*_binary64_4111 associate-/l*_binary64_4115 associate-/r*_binary64_4114
prod-exp_binary64_4219 cbrt-unprod_binary64_4203 div-inv_binary64_4167 cbrt-undiv_binary64_4204 add-log-exp_binary64_4209 unswap-sqr_binary64_4138 div-exp_binary64_4221
associate-*r/_binary64_4112 frac-2neg_binary64_4181 *-commutative_binary64_4101 pow-prod-down_binary64_4241 clear-num_binary64_4169
Counts
2 → 59
Calls

2 calls:

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

series70.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
21.0ms
(/.f64 (sin.f64 y) y)

simplify69.0ms (2.4%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05007782

prune56.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766
Error
0.0b
Counts
66 → 7
Compiler

Compiled 816 to 225 computations (72.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
3.2b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

rewrite26.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_4192
28×times-frac_binary64_4176
25×add-exp-log_binary64_4208
22×*-un-lft-identity_binary64_4170 associate-*r*_binary64_4110 add-cube-cbrt_binary64_4205
20×cbrt-prod_binary64_4201
18×add-cbrt-cube_binary64_4206
prod-exp_binary64_4219 cbrt-unprod_binary64_4203
associate-*l*_binary64_4111 cbrt-undiv_binary64_4204 div-exp_binary64_4221
pow1_binary64_4231 unswap-sqr_binary64_4138
add-log-exp_binary64_4209
pow1/3_binary64_4252
div-inv_binary64_4167
frac-times_binary64_4180 associate-*r/_binary64_4112 associate-*l/_binary64_4113 *-commutative_binary64_4101 pow-prod-down_binary64_4241
Counts
4 → 92
Calls

4 calls:

16.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series333.0ms (11.6%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(cbrt.f64 y)
85.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
82.0ms
(cbrt.f64 y)
79.0ms
(cbrt.f64 y)

simplify84.0ms (2.9%)

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049351361
149351361

prune74.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh066
Picked011
Done000
Total1038111
Error
0b
Counts
111 → 8
Compiler

Compiled 1733 to 503 computations (71% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))
4.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) x) (/.f64 (cbrt.f64 (sin.f64 y)) y))

rewrite28.0ms (1%)

Algorithm
rewrite-expression-head
Rules
25×add-exp-log_binary64_4208
22×associate-*r*_binary64_4110
20×add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
18×add-cbrt-cube_binary64_4206 times-frac_binary64_4176 cbrt-prod_binary64_4201
13×pow1_binary64_4231
12×prod-exp_binary64_4219 cbrt-unprod_binary64_4203
pow-prod-down_binary64_4241
add-log-exp_binary64_4209
pow1/3_binary64_4252 cbrt-undiv_binary64_4204 div-exp_binary64_4221
associate-*r/_binary64_4112 associate-*l*_binary64_4111 div-inv_binary64_4167 *-commutative_binary64_4101
Counts
4 → 80
Calls

4 calls:

17.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) x) (/.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))

series252.0ms (8.8%)

Counts
4 → 12
Calls

4 calls:

71.0ms
(cbrt.f64 (sin.f64 y))
70.0ms
(cbrt.f64 (sin.f64 y))
68.0ms
(cbrt.f64 (sin.f64 y))
42.0ms
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) x) (/.f64 (cbrt.f64 (sin.f64 y)) y))

simplify72.0ms (2.5%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049801132
149801132

prune66.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done011
Total928100
Error
0b
Counts
100 → 8
Compiler

Compiled 1570 to 431 computations (72.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.6b
(*.f64 (sin.f64 y) (/.f64 x y))

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_4192
13×associate-*r*_binary64_4110
10×times-frac_binary64_4176
*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206
pow1_binary64_4231 associate-*l*_binary64_4111
prod-exp_binary64_4219 cbrt-unprod_binary64_4203 unswap-sqr_binary64_4138
associate-*r/_binary64_4112 div-inv_binary64_4167 *-commutative_binary64_4101 cbrt-undiv_binary64_4204 pow-prod-down_binary64_4241 add-log-exp_binary64_4209 div-exp_binary64_4221
Counts
1 → 32
Calls

1 calls:

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

series42.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(*.f64 (sin.f64 y) (/.f64 x y))

simplify73.0ms (2.6%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04885426
14885426

prune18.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh055
Picked011
Done022
Total35843
Error
0b
Counts
43 → 8
Compiler

Compiled 387 to 93 computations (76% saved)

regimes169.0ms (5.9%)

Accuracy

Total 0.1b remaining (97%)

Threshold costs 0.1b (97%)

Compiler

Compiled 1424 to 882 computations (38.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.2s (40.5%)

Algorithm
intervals
Results
246.0ms5437×body128valid
230.0ms1315×body1024valid
105.0ms831×body512valid
35.0ms415×body256valid
1.0msbody2048valid
Compiler

Compiled 363 to 227 computations (37.5% saved)

Profiling

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