Details

Time bar (total: 3.6s)

analyze265.0ms (7.5%)

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
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms16×body80invalid
Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify14.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
011216
111216

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.8b
(*.f64 y (+.f64 1 (*.f64 z z)))
4.8b
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64
26×add-exp-log_binary64
20×add-sqr-sqrt_binary64
18×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
13×associate-/l*_binary64
12×div-exp_binary64
cbrt-undiv_binary64
prod-exp_binary64
pow1_binary64 associate-*r/_binary64
cbrt-unprod_binary64 associate-*r*_binary64 associate-*l*_binary64 div-inv_binary64
flip3-+_binary64 add-log-exp_binary64 1-exp_binary64 associate-/r/_binary64 rec-exp_binary64 flip-+_binary64
pow-prod-down_binary64 associate-/l/_binary64 associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
2 → 74
Calls

2 calls:

10.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
6.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))

series27.0ms (0.8%)

Counts
2 → 6
Calls

2 calls:

16.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
11.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))

simplify81.0ms (2.3%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050741317

prune84.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New71980
Fresh000
Picked101
Done000
Total72981

Merged error: 5.8b

Counts
81 → 9
Compiler

Compiled 1414 to 858 computations (39.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 1 x))
0.6b
(cbrt.f64 (/.f64 1 x))
1.9b
(/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 1 (*.f64 z z)))
5.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 1 (*.f64 z z))))

rewrite54.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
197×times-frac_binary64
140×add-sqr-sqrt_binary64
123×cbrt-prod_binary64
112×*-un-lft-identity_binary64
110×add-cube-cbrt_binary64
54×associate-*r*_binary64
27×add-exp-log_binary64
19×add-cbrt-cube_binary64
16×associate-/l*_binary64
12×div-inv_binary64
10×unswap-sqr_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 div-exp_binary64
associate-*l*_binary64
pow1_binary64
add-log-exp_binary64 associate-/r/_binary64
cbrt-div_binary64 associate-/r*_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
pow-prod-down_binary64 associate-/l/_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 221
Calls

4 calls:

27.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 1 (*.f64 z z))))
8.0ms
(/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 1 (*.f64 z z)))
3.0ms
(cbrt.f64 (/.f64 1 x))
2.0ms
(cbrt.f64 (/.f64 1 x))

series81.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 1 (*.f64 z z)))
22.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (/.f64 1 x))) y) (/.f64 (cbrt.f64 (/.f64 1 x)) (+.f64 1 (*.f64 z z))))
16.0ms
(cbrt.f64 (/.f64 1 x))
14.0ms
(cbrt.f64 (/.f64 1 x))

simplify130.0ms (3.7%)

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049755974
149755974

prune310.0ms (8.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2312233
Fresh088
Picked011
Done000
Total23111242

Merged error: 4.9b

Counts
242 → 11
Compiler

Compiled 7123 to 4845 computations (32% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.8b
(/.f64 (/.f64 1 x) (+.f64 y (*.f64 y (*.f64 z z))))
7.9b
(*.f64 y (*.f64 z z))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
46×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×add-exp-log_binary64
13×associate-/l*_binary64
12×add-cbrt-cube_binary64
pow1_binary64
div-exp_binary64
div-inv_binary64
pow-prod-down_binary64 associate-/r*_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*l*_binary64 prod-exp_binary64
add-log-exp_binary64 associate-/r/_binary64
flip3-+_binary64 associate-/l/_binary64 associate-*r*_binary64 1-exp_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
2 → 93
Calls

2 calls:

8.0ms
(/.f64 (/.f64 1 x) (+.f64 y (*.f64 y (*.f64 z z))))
6.0ms
(*.f64 y (*.f64 z z))

series26.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

19.0ms
(/.f64 (/.f64 1 x) (+.f64 y (*.f64 y (*.f64 z z))))
8.0ms
(*.f64 y (*.f64 z z))

simplify131.0ms (3.7%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049192416
149192416

prune78.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh099
Picked011
Done011
Total9713110

Merged error: 2.2b

Counts
110 → 13
Compiler

Compiled 2215 to 821 computations (62.9% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 y z) z)
4.8b
(/.f64 (/.f64 1 x) (+.f64 y (*.f64 (*.f64 y z) z)))

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
45×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
16×add-exp-log_binary64
13×associate-/l*_binary64
12×add-cbrt-cube_binary64
pow1_binary64
div-exp_binary64
div-inv_binary64
pow-prod-down_binary64 associate-/r*_binary64 cbrt-unprod_binary64 associate-*r*_binary64 cbrt-undiv_binary64 prod-exp_binary64
add-log-exp_binary64 associate-/r/_binary64
flip3-+_binary64 associate-/l/_binary64 1-exp_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64 rec-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
2 → 92
Calls

2 calls:

8.0ms
(/.f64 (/.f64 1 x) (+.f64 y (*.f64 (*.f64 y z) z)))
5.0ms
(*.f64 (*.f64 y z) z)

series26.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

19.0ms
(/.f64 (/.f64 1 x) (+.f64 y (*.f64 (*.f64 y z) z)))
7.0ms
(*.f64 (*.f64 y z) z)

simplify108.0ms (3.1%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
052512404

prune58.0ms (1.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh2810
Picked011
Done112
Total9813111

Merged error: 2.2b

Counts
111 → 13
Compiler

Compiled 1980 to 646 computations (67.4% saved)

regimes561.0ms (15.8%)

Compiler

Compiled 2357 to 1796 computations (23.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 4 computations (-33.3% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
093114
193114

end0.0ms (0%)

sample1.4s (39.5%)

Algorithm
intervals
Results
272.0ms8000×body80valid
22.0ms490×body80invalid
Compiler

Compiled 391 to 284 computations (27.4% saved)

Profiling

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