Details

Time bar (total: 4.6s)

analyze83.0ms (1.8%)

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)

sample38.0ms (0.8%)

Algorithm
intervals
Results
14.0ms168×body128valid
12.0ms48×body1024valid
4.0ms32×body512valid
1.0msbody256valid
Compiler

Compiled 13 to 13 computations (0% saved)

simplify164.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0179
1179

prune2.0ms (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 12 to 10 computations (16.7% saved)

localize9.0ms (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)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_5605
19×times-frac_binary64_5589
18×*-un-lft-identity_binary64_5583 add-cube-cbrt_binary64_5618
13×associate-*r*_binary64_5523
add-exp-log_binary64_5621 add-cbrt-cube_binary64_5619
pow1_binary64_5644
associate-/l*_binary64_5528 associate-/r*_binary64_5527 associate-*l*_binary64_5524
div-inv_binary64_5580 unswap-sqr_binary64_5551 div-exp_binary64_5634 cbrt-undiv_binary64_5617 prod-exp_binary64_5632 cbrt-unprod_binary64_5616 add-log-exp_binary64_5622
clear-num_binary64_5582 frac-2neg_binary64_5594 associate-*r/_binary64_5525 pow-prod-down_binary64_5654 *-commutative_binary64_5514
Counts
2 → 59
Calls

2 calls:

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

series131.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

91.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
40.0ms
(/.f64 (sin.f64 y) y)

simplify99.0ms (2.1%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04696782
14696782

prune250.0ms (5.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New551065
Fresh000
Picked011
Done000
Total551166

Merged error: 0.0b

Counts
66 → 11
Compiler

Compiled 3777 to 1974 computations (47.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.4b
(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b
(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b
(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite43.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod_binary64_5614
81×add-sqr-sqrt_binary64_5605
69×times-frac_binary64_5589
57×*-un-lft-identity_binary64_5583 add-cube-cbrt_binary64_5618
16×associate-*r*_binary64_5523 swap-sqr_binary64_5550 associate-*l*_binary64_5524
11×pow1_binary64_5644
pow1/3_binary64_5665 unswap-sqr_binary64_5551
div-inv_binary64_5580 cbrt-div_binary64_5615
add-exp-log_binary64_5621
add-cbrt-cube_binary64_5619 add-log-exp_binary64_5622
pow-prod-down_binary64_5654 pow-prod-up_binary64_5653 pow-sqr_binary64_5556
pow-plus_binary64_5646 associate-*l/_binary64_5526 frac-times_binary64_5593 pow2_binary64_5664 associate-*r/_binary64_5525 prod-exp_binary64_5632 cbrt-unprod_binary64_5616 *-commutative_binary64_5514
Counts
4 → 144
Calls

4 calls:

18.0ms
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
3.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))

series820.0ms (17.7%)

Counts
4 → 12
Calls

4 calls:

257.0ms
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
192.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))
188.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))
182.0ms
(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify91.0ms (2%)

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049632719
149632719

prune142.0ms (3.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh099
Picked011
Done011
Total15611167

Merged error: 0.0b

Counts
167 → 11
Compiler

Compiled 3937 to 929 computations (76.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_5614
23×add-sqr-sqrt_binary64_5605
15×*-un-lft-identity_binary64_5583 add-cube-cbrt_binary64_5618
11×pow1_binary64_5644
pow1/3_binary64_5665
associate-*r*_binary64_5523 add-exp-log_binary64_5621 swap-sqr_binary64_5550 associate-*l*_binary64_5524
unswap-sqr_binary64_5551 add-cbrt-cube_binary64_5619 add-log-exp_binary64_5622
pow-prod-down_binary64_5654 pow-prod-up_binary64_5653 pow-sqr_binary64_5556
pow-plus_binary64_5646 pow2_binary64_5664 prod-exp_binary64_5632 cbrt-unprod_binary64_5616 *-commutative_binary64_5514
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series641.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
156.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)
151.0ms
(cbrt.f64 y)

simplify53.0ms (1.1%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05245563

prune75.0ms (1.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done022
Total851196

Merged error: 0.0b

Counts
96 → 11
Compiler

Compiled 1565 to 585 computations (62.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_5614
23×add-sqr-sqrt_binary64_5605
15×*-un-lft-identity_binary64_5583 add-cube-cbrt_binary64_5618
11×pow1_binary64_5644
pow1/3_binary64_5665
associate-*r*_binary64_5523 add-exp-log_binary64_5621 swap-sqr_binary64_5550 associate-*l*_binary64_5524
unswap-sqr_binary64_5551 add-cbrt-cube_binary64_5619 add-log-exp_binary64_5622
pow-prod-down_binary64_5654 pow-prod-up_binary64_5653 pow-sqr_binary64_5556
pow-plus_binary64_5646 pow2_binary64_5664 prod-exp_binary64_5632 cbrt-unprod_binary64_5616 *-commutative_binary64_5514
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series657.0ms (14.1%)

Counts
4 → 12
Calls

4 calls:

178.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
169.0ms
(cbrt.f64 x)
155.0ms
(cbrt.f64 x)
154.0ms
(cbrt.f64 x)

simplify58.0ms (1.2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05245563

prune78.0ms (1.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done033
Total851196

Merged error: 0.0b

Counts
96 → 11
Compiler

Compiled 1615 to 495 computations (69.3% saved)

regimes77.0ms (1.7%)

Compiler

Compiled 548 to 342 computations (37.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.1s (22.7%)

Algorithm
intervals
Results
289.0ms1307×body1024valid
259.0ms5356×body128valid
131.0ms881×body512valid
44.0ms454×body256valid
1.0msbody2048valid
Compiler

Compiled 144 to 92 computations (36.1% saved)

Profiling

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