Details

Time bar (total: 5.7s)

analyze1.3s (23%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
9.4%90.4%0.2%11
9.4%90.4%0.2%12
10.1%89.6%0.2%13
20.8%78.9%0.2%14
Compiler

Compiled 14 to 14 computations (0% saved)

sample32.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
3.0ms88×body128invalid
Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify558.0ms (9.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (460.0ms)

IterNodesCost
0416219
1416219

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.8b

Counts
2 → 1
Compiler

Compiled 26 to 26 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 z 9) t)
0.6b
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
6.3b
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
pow1_binary64_21622
add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561 add-cube-cbrt_binary64_21596
add-log-exp_binary64_21600
cbrt-unprod_binary64_21594 prod-exp_binary64_21610
times-frac_binary64_21567 associate-*r*_binary64_21501 associate-/l*_binary64_21506 pow-prod-down_binary64_21632
cbrt-undiv_binary64_21595 div-exp_binary64_21612 flip3--_binary64_21565 associate-/l/_binary64_21508 flip--_binary64_21536
cancel-sign-sub-inv_binary64_21527 div-sub_binary64_21566 diff-log_binary64_21653 frac-2neg_binary64_21572 sub-neg_binary64_21554 *-commutative_binary64_21492 associate-*l*_binary64_21502 div-inv_binary64_21558 clear-num_binary64_21560 associate-/r*_binary64_21505
Counts
3 → 54
Calls

3 calls:

8.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))
5.0ms
(*.f64 (*.f64 z 9) t)
4.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))

series134.0ms (2.4%)

Counts
3 → 9
Calls

3 calls:

73.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2))
46.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
15.0ms
(*.f64 (*.f64 z 9) t)

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049291034
149291034

prune78.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New54963
Fresh000
Picked101
Done000
Total55964

Merged error: 4.2b

Counts
64 → 9
Compiler

Compiled 1322 to 809 computations (38.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 z (*.f64 t -9))
0.6b
(+.f64 (*.f64 x y) (*.f64 z (*.f64 t -9)))
6.3b
(/.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 t -9))) (*.f64 a 2))

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
pow1_binary64_21622
add-sqr-sqrt_binary64_21583 *-un-lft-identity_binary64_21561 add-cube-cbrt_binary64_21596
add-log-exp_binary64_21600
cbrt-unprod_binary64_21594 prod-exp_binary64_21610
times-frac_binary64_21567 associate-/l*_binary64_21506 associate-*l*_binary64_21502 pow-prod-down_binary64_21632
cbrt-undiv_binary64_21595 div-exp_binary64_21612 associate-/l/_binary64_21508 flip-+_binary64_21535 flip3-+_binary64_21564
+-commutative_binary64_21491 associate-*r*_binary64_21501 frac-2neg_binary64_21572 sum-log_binary64_21652 *-commutative_binary64_21492 div-inv_binary64_21558 clear-num_binary64_21560 associate-/r*_binary64_21505
Counts
3 → 52
Calls

3 calls:

8.0ms
(/.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 t -9))) (*.f64 a 2))
5.0ms
(*.f64 z (*.f64 t -9))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 t -9)))

series134.0ms (2.4%)

Counts
3 → 9
Calls

3 calls:

68.0ms
(/.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 t -9))) (*.f64 a 2))
51.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 t -9)))
15.0ms
(*.f64 z (*.f64 t -9))

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04953998
14953998

prune64.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh088
Picked011
Done000
Total601070

Merged error: 4.2b

Counts
70 → 10
Compiler

Compiled 1298 to 796 computations (38.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 1/2 (/.f64 (*.f64 x y) a)) (*.f64 9/2 (/.f64 (*.f64 z t) a)))
0.2b
(*.f64 9/2 (/.f64 (*.f64 z t) a))
4.7b
(/.f64 (*.f64 z t) a)
4.9b
(/.f64 (*.f64 x y) a)

rewrite33.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
13×add-sqr-sqrt_binary64_21583
11×*-un-lft-identity_binary64_21561 add-cube-cbrt_binary64_21596
times-frac_binary64_21567
associate-*r*_binary64_21501
cbrt-undiv_binary64_21595 cbrt-unprod_binary64_21594 div-exp_binary64_21612 prod-exp_binary64_21610 add-log-exp_binary64_21600 associate-/r*_binary64_21505 pow1_binary64_21622
associate-*r/_binary64_21503
associate-*l*_binary64_21502 div-inv_binary64_21558
associate-/l*_binary64_21506 frac-2neg_binary64_21572 clear-num_binary64_21560
cancel-sign-sub-inv_binary64_21527 flip3--_binary64_21565 diff-log_binary64_21653 sub-neg_binary64_21554 *-commutative_binary64_21492 pow-prod-down_binary64_21632 unswap-sqr_binary64_21529 frac-sub_binary64_21570 sub-div_binary64_21568 flip--_binary64_21536
Counts
4 → 83
Calls

4 calls:

7.0ms
(*.f64 9/2 (/.f64 (*.f64 z t) a))
7.0ms
(-.f64 (*.f64 1/2 (/.f64 (*.f64 x y) a)) (*.f64 9/2 (/.f64 (*.f64 z t) a)))
5.0ms
(/.f64 (*.f64 x y) a)
4.0ms
(/.f64 (*.f64 z t) a)

series149.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

87.0ms
(-.f64 (*.f64 1/2 (/.f64 (*.f64 x y) a)) (*.f64 9/2 (/.f64 (*.f64 z t) a)))
24.0ms
(*.f64 9/2 (/.f64 (*.f64 z t) a))
20.0ms
(/.f64 (*.f64 x y) a)
18.0ms
(/.f64 (*.f64 z t) a)

simplify62.0ms (1.1%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051141277

prune99.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New90595
Fresh178
Picked101
Done011
Total9213105

Merged error: 1.0b

Counts
105 → 13
Compiler

Compiled 2038 to 896 computations (56% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (*.f64 z 9) t)
0.6b
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
6.4b
(*.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (/.f64 1/2 a))

rewrite28.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_21583
16×associate-*r*_binary64_21501
13×add-exp-log_binary64_21599 add-cbrt-cube_binary64_21597
12×*-un-lft-identity_binary64_21561 add-cube-cbrt_binary64_21596
10×times-frac_binary64_21567 pow1_binary64_21622
cbrt-unprod_binary64_21594 prod-exp_binary64_21610 add-log-exp_binary64_21600
associate-*l*_binary64_21502 pow-prod-down_binary64_21632
flip3--_binary64_21565 flip--_binary64_21536
associate-*l/_binary64_21504 frac-times_binary64_21571 *-commutative_binary64_21492 unswap-sqr_binary64_21529
cbrt-undiv_binary64_21595 div-exp_binary64_21612 cancel-sign-sub-inv_binary64_21527 diff-log_binary64_21653 associate-*r/_binary64_21503 sub-neg_binary64_21554 div-inv_binary64_21558
Counts
3 → 66
Calls

3 calls:

10.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (/.f64 1/2 a))
5.0ms
(*.f64 (*.f64 z 9) t)
4.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))

series133.0ms (2.3%)

Counts
3 → 9
Calls

3 calls:

72.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (/.f64 1/2 a))
46.0ms
(-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t))
15.0ms
(*.f64 (*.f64 z 9) t)

simplify74.0ms (1.3%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
052371366

prune71.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh01111
Picked011
Done011
Total751388

Merged error: 1.0b

Counts
88 → 13
Compiler

Compiled 1425 to 814 computations (42.9% saved)

regimes1.1s (18.9%)

Compiler

Compiled 8622 to 7228 computations (16.2% saved)

bsearch2.0ms (0%)

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015299
115299

end0.0ms (0%)

sample1.4s (25.1%)

Algorithm
intervals
Results
335.0ms8000×body128valid
131.0ms3145×body128invalid
Compiler

Compiled 741 to 601 computations (18.9% saved)

Profiling

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