Details

Time bar (total: 4.4s)

analyze341.0ms (7.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046617
146617
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.5%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify33.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
046617
146617

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite168.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
79×*-un-lft-identity_binary64
56×add-sqr-sqrt_binary64
49×times-frac_binary64
30×sqrt-prod_binary64
26×add-cube-cbrt_binary64
18×difference-of-squares_binary64
13×distribute-lft-out_binary64
distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/r/_binary64 associate-/r*_binary64
add-log-exp_binary64
div-inv_binary64 associate-/l/_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 flip3--_binary64 flip--_binary64 pow1/2_binary64 sqrt-pow1_binary64 sqrt-div_binary64
Counts
3 → 100
Calls

3 calls:

10.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
9.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Compiler

Compiled 2038 to 1659 computations (18.6% saved)

series96.0ms (2.2%)

Error
0.0b
Counts
3 → 17
Calls

3 calls:

31.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
25.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
24.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Compiler

Compiled 425 to 398 computations (6.4% saved)

simplify80.0ms (1.8%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
064192047

prune141.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1152117
Fresh000
Picked101
Done000
Total1162118
Error
0b
Counts
118 → 2
Compiler

Compiled 2040 to 1646 computations (19.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 x))
0.0b
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
0.0b
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
0.0b
(sqrt.f64 (+.f64 1 x))

rewrite210.0ms (4.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
98×sqrt-prod_binary64
91×*-un-lft-identity_binary64
71×add-sqr-sqrt_binary64
63×times-frac_binary64
42×add-cube-cbrt_binary64
18×difference-of-squares_binary64
11×distribute-lft-out_binary64
distribute-lft-out--_binary64 associate-/l*_binary64
sqrt-div_binary64
associate-/r*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow1/2_binary64 sqrt-pow1_binary64 flip3-+_binary64 flip-+_binary64 rem-sqrt-square_binary64 flip3--_binary64 associate-/l/_binary64 flip--_binary64 associate-/r/_binary64
div-exp_binary64 cbrt-undiv_binary64 sqrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64
Counts
4 → 137
Calls

4 calls:

11.0ms
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
4.0ms
(sqrt.f64 (-.f64 1 x))
3.0ms
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
3.0ms
(sqrt.f64 (+.f64 1 x))
Compiler

Compiled 3038 to 2537 computations (16.5% saved)

series91.0ms (2%)

Error
0b
Counts
4 → 21
Calls

4 calls:

20.0ms
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
18.0ms
(sqrt.f64 (+.f64 1 x))
18.0ms
(sqrt.f64 (-.f64 1 x))
18.0ms
(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
Compiler

Compiled 635 to 563 computations (11.3% saved)

simplify115.0ms (2.6%)

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
056463065

prune192.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1580158
Fresh011
Picked011
Done000
Total1582160
Error
0b
Counts
160 → 2
Compiler

Compiled 2989 to 2476 computations (17.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (+.f64 1 x))
0.0b
(cbrt.f64 (+.f64 1 x))
0.0b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
0.0b
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))

rewrite757.0ms (17.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
126×cbrt-prod_binary64
112×add-sqr-sqrt_binary64
109×*-un-lft-identity_binary64
78×associate-*r*_binary64 times-frac_binary64
48×add-cube-cbrt_binary64
47×add-exp-log_binary64
30×cbrt-div_binary64
22×difference-of-squares_binary64 associate-*l*_binary64
19×prod-exp_binary64 add-cbrt-cube_binary64 cbrt-unprod_binary64
14×unswap-sqr_binary64
13×pow1_binary64 distribute-lft-out--_binary64 div-exp_binary64 cbrt-undiv_binary64
11×swap-sqr_binary64 distribute-lft-out_binary64
10×associate-/r/_binary64
frac-times_binary64 flip3-+_binary64 flip-+_binary64
pow1/3_binary64
flip3--_binary64 flip--_binary64
associate-*l/_binary64 associate-*r/_binary64
add-log-exp_binary64
pow-prod-down_binary64
pow-prod-up_binary64 pow-sqr_binary64 *-commutative_binary64 div-inv_binary64
pow2_binary64 pow-plus_binary64 pow3_binary64
Counts
4 → 212
Calls

4 calls:

56.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
13.0ms
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
3.0ms
(cbrt.f64 (+.f64 1 x))
3.0ms
(cbrt.f64 (+.f64 1 x))
Compiler

Compiled 9635 to 7895 computations (18.1% saved)

series187.0ms (4.2%)

Error
0b
Counts
4 → 26
Calls

4 calls:

44.0ms
(cbrt.f64 (+.f64 1 x))
40.0ms
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x)))
34.0ms
(cbrt.f64 (+.f64 1 x))
32.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (-.f64 1 x))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
Compiler

Compiled 1728 to 1485 computations (14.1% saved)

simplify110.0ms (2.5%)

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049565752
149565752

prune571.0ms (12.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2380238
Fresh000
Picked011
Done011
Total2382240
Error
0b
Counts
240 → 2
Compiler

Compiled 8434 to 6874 computations (18.5% saved)

regimes230.0ms (5.2%)

Accuracy

Total 0.0b remaining (91.9%)

Threshold costs 0.0b (91.9%)

Compiler

Compiled 2381 to 2122 computations (10.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02319
12319

end0.0ms (0%)

sample1.0s (23.5%)

Algorithm
intervals
Results
372.0ms8000×body128valid
Compiler

Compiled 415 to 369 computations (11.1% saved)

Profiling

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