Details

Time bar (total: 9.3s)

analyze2.0s (21.1%)

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)

sample43.0ms (0.5%)

Algorithm
intervals
Results
21.0ms256×body80valid
1.0msbody80invalid
Compiler

Compiled 67 to 61 computations (9% saved)

simplify258.0ms (2.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (248.0ms)

IterNodesCost
0483649
1483649

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.9b

Counts
2 → 1
Compiler

Compiled 66 to 52 computations (21.2% saved)

localize21.0ms (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)
30.2b
(/.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))

rewrite67.0ms (0.7%)

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:

30.0ms
(/.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))
14.0ms
(*.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)
10.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

series218.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(/.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))
19.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
17.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
11.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

simplify96.0ms (1%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049733369
149733369

prune190.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New8914103
Fresh000
Picked101
Done000
Total9014104

Merged error: 29.8b

Counts
104 → 14
Compiler

Compiled 5214 to 1710 computations (67.2% saved)

localize26.0ms (0.3%)

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))
30.3b
(*.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)))

rewrite77.0ms (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 add-exp-log_binary64
20×times-frac_binary64
15×add-cbrt-cube_binary64
11×pow1_binary64
associate-*l*_binary64
flip3-+_binary64 prod-exp_binary64 flip-+_binary64 associate-*l/_binary64
unswap-sqr_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-/r/_binary64 div-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 associate-/l*_binary64 *-commutative_binary64
1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64 div-inv_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 → 115
Calls

4 calls:

36.0ms
(*.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)))
16.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
13.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
8.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

series235.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

178.0ms
(*.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)))
28.0ms
(/.f64 1 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
19.0ms
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
10.0ms
(*.f64 (+.f64 (*.f64 x y) z) y)

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
052754276

prune163.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1243127
Fresh21113
Picked011
Done000
Total12615141

Merged error: 29.8b

Counts
141 → 15
Compiler

Compiled 6440 to 2107 computations (67.3% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

23.3b
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
23.3b
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
23.3b
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))
30.2b
(/.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 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))

rewrite98.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64 cbrt-prod_binary64
cbrt-div_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
associate-/l/_binary64 associate-/r/_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 70
Calls

4 calls:

65.0ms
(/.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 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))
11.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
11.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
11.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))

series291.0ms (3.1%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(/.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 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))) (*.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))
40.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
38.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c))
38.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c))

simplify85.0ms (0.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049843374
149843374

prune124.0ms (1.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh01313
Picked011
Done011
Total821597

Merged error: 29.8b

Counts
97 → 15
Compiler

Compiled 5897 to 1537 computations (73.9% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

20.4b
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
20.4b
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
20.4b
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
26.1b
(/.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (*.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)) (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))))

rewrite94.0ms (1%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64
10×flip3-+_binary64 flip-+_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
associate-/r/_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 frac-times_binary64
pow1/3_binary64 associate-/l*_binary64 times-frac_binary64
associate-/l/_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64 associate-*l/_binary64
associate-/r*_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls

4 calls:

50.0ms
(/.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (*.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)) (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))))
14.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
13.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
13.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

series462.0ms (5%)

Counts
4 → 12
Calls

4 calls:

280.0ms
(/.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (*.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)) (cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))))
62.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
60.0ms
(cbrt.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
60.0ms
(cbrt.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify88.0ms (0.9%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050284284

prune72.0ms (0.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New80282
Fresh11112
Picked011
Done022
Total811697

Merged error: 29.2b

Counts
97 → 16
Compiler

Compiled 6763 to 1133 computations (83.2% saved)

regimes1.1s (11.5%)

Compiler

Compiled 6088 to 4040 computations (33.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04752
14752

end0.0ms (0%)

sample3.4s (36.4%)

Algorithm
intervals
Results
731.0ms8000×body80valid
29.0ms238×body80invalid
Compiler

Compiled 828 to 552 computations (33.3% saved)

Profiling

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