Details

Time bar (total: 1.3s)

analyze3.0ms (0.2%)

Algorithm
search
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 7 to 6 computations (14.3% saved)

sample10.0ms (0.8%)

Algorithm
intervals
Results
6.0ms256×body80valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify354.0ms (27.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (340.0ms)

IterNodesCost
069499

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite4.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
pow1_binary64 add-cube-cbrt_binary64 difference-of-squares_binary64 sqrt-div_binary64
add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64
Counts
1 → 17
Calls

1 calls:

4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series5.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify95.0ms (7.4%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04858293
14858293

prune15.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New19120
Fresh000
Picked011
Done000
Total19221

Merged error: 0b

Counts
21 → 2
Compiler

Compiled 262 to 180 computations (31.3% saved)

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.0b
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

rewrite32.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod_binary64
51×add-sqr-sqrt_binary64
43×sqrt-prod_binary64
29×*-un-lft-identity_binary64
22×add-cube-cbrt_binary64
18×cbrt-div_binary64 sqrt-div_binary64
14×difference-of-squares_binary64
13×swap-sqr_binary64
11×pow1_binary64 associate-*r*_binary64 associate-*l*_binary64
flip3--_binary64 pow1/3_binary64 unswap-sqr_binary64 flip--_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 124
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
4.0ms
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

series41.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
10.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
10.0ms
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
10.0ms
(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

simplify122.0ms (9.5%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
053983093

prune148.0ms (11.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done011
Total1362138

Merged error: 0b

Counts
138 → 2
Compiler

Compiled 4035 to 2617 computations (35.1% saved)

regimes46.0ms (3.6%)

Compiler

Compiled 146 to 108 computations (26% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1259

end0.0ms (0%)

sample387.0ms (30.2%)

Algorithm
intervals
Results
178.0ms8000×body80valid
Compiler

Compiled 42 to 33 computations (21.4% saved)

Profiling

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