Details

Time bar (total: 12.1s)

analyze2.2s (18.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 34 to 27 computations (20.6% saved)

sample40.0ms (0.3%)

Algorithm
intervals
Results
23.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 67 to 61 computations (9% saved)

simplify137.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
0495149
1495149

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.2b

Counts
2 → 1
Compiler

Compiled 66 to 52 computations (21.2% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)
29.6b
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite78.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
18×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
10×pow1_binary64
associate-*r*_binary64 associate-*l*_binary64 times-frac_binary64
associate-*l/_binary64
flip3-+_binary64 flip-+_binary64
add-log-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64 *-commutative_binary64
associate-/l/_binary64 associate-/r/_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 91
Calls

4 calls:

31.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
15.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
12.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

series1.0s (8.7%)

Counts
4 → 12
Calls

4 calls:

762.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
116.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
101.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
65.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

simplify82.0ms (0.7%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
052393369

prune666.0ms (5.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New949103
Fresh000
Picked011
Done000
Total9410104

Merged error: 29.0b

Counts
104 → 10
Compiler

Compiled 18741 to 9555 computations (49% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b
(*.f64 (+.f64 (*.f64 x y) z) y)
0.2b
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
29.6b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))

rewrite92.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
25×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
21×associate-*r*_binary64
20×times-frac_binary64
18×add-exp-log_binary64
15×add-cbrt-cube_binary64
11×pow1_binary64
associate-*l*_binary64
flip3-+_binary64 flip-+_binary64 associate-*l/_binary64
unswap-sqr_binary64 prod-exp_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-/r/_binary64
pow-prod-down_binary64 associate-/r*_binary64 associate-/l*_binary64 *-commutative_binary64
cbrt-undiv_binary64 rec-exp_binary64 div-inv_binary64 div-exp_binary64 frac-times_binary64
associate-*r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64 pow-flip_binary64
Counts
4 → 113
Calls

4 calls:

37.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
19.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
12.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

series1.0s (8.7%)

Counts
4 → 12
Calls

4 calls:

782.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
100.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
96.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
66.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

simplify86.0ms (0.7%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050054199

prune282.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1232125
Fresh178
Picked011
Done011
Total12411135

Merged error: 29.0b

Counts
135 → 11
Compiler

Compiled 8647 to 3558 computations (58.9% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.4b
(cbrt.f64 (+.f64 (*.f64 x y) z))
8.4b
(cbrt.f64 (+.f64 (*.f64 x y) z))
8.4b
(cbrt.f64 (+.f64 (*.f64 x y) z))
29.6b
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 x y) z)))) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))

rewrite86.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
15×associate-*r*_binary64 add-cube-cbrt_binary64
11×add-exp-log_binary64 times-frac_binary64
add-cbrt-cube_binary64 cbrt-prod_binary64
cbrt-div_binary64 flip3-+_binary64 pow1_binary64 flip-+_binary64
add-log-exp_binary64
pow1/3_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
cbrt-unprod_binary64 associate-/r/_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
4 → 80
Calls

4 calls:

57.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 x y) z)))) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

series1.4s (12%)

Counts
4 → 12
Calls

4 calls:

786.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 x y) z)))) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
225.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
221.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))
217.0ms
(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify110.0ms (0.9%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
048433137
148433137

prune177.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh088
Picked101
Done022
Total9211103

Merged error: 29.0b

Counts
103 → 11
Compiler

Compiled 6042 to 1945 computations (67.8% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

23.0b
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
23.0b
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
23.0b
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
29.6b
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))

rewrite90.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
cbrt-div_binary64 associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 flip-+_binary64
add-log-exp_binary64 pow1_binary64
associate-/r*_binary64 pow1/3_binary64 associate-/l*_binary64 cbrt-prod_binary64
associate-/l/_binary64 associate-/r/_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 64
Calls

4 calls:

38.0ms
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))
13.0ms
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
12.0ms
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
12.0ms
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))

series2.2s (18.4%)

Counts
4 → 12
Calls

4 calls:

1.2s
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) (cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))
349.0ms
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
342.0ms
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))
342.0ms
(cbrt.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))

simplify73.0ms (0.6%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049563203
149563203

prune147.0ms (1.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh088
Picked011
Done022
Total761187

Merged error: 29.0b

Counts
87 → 11
Compiler

Compiled 5557 to 1415 computations (74.5% saved)

regimes317.0ms (2.6%)

Compiler

Compiled 4519 to 3051 computations (32.5% saved)

bsearch3.0ms (0%)

Compiler

Compiled 33 to 26 computations (21.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047104
147104

end0.0ms (0%)

sample1.5s (12.4%)

Algorithm
intervals
Results
746.0ms8000×body128valid
18.0ms207×body128invalid
Compiler

Compiled 597 to 392 computations (34.3% saved)

Profiling

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