Details

Time bar (total: 2.5min)

analyze1.5s (1%)

Algorithm
1×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 16 to 16 computations (0% saved)

sample50.0ms (0%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
8.0ms174×body128invalid
Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify166.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06722
16722

prune3.0ms (0%)

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 30 to 30 computations (0% saved)

localize16.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
0.0b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))

rewrite25.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
19×add-log-exp_binary64_2809
10×sum-log_binary64_2861
3×add-exp-log_binary64_2808 pow1_binary64_2831 flip3-+_binary64_2776 add-cube-cbrt_binary64_2805 add-cbrt-cube_binary64_2806 add-sqr-sqrt_binary64_2794 *-un-lft-identity_binary64_2773 +-commutative_binary64_2705 flip-+_binary64_2747
2×associate-+l+_binary64_2708
Counts
3 → 38
Calls

3 calls:

11.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

series619.0ms (0.4%)

Counts
3 → 9
Calls

3 calls:

422.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
126.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
70.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

simplify50.0ms (0%)

Algorithm
1×egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050161004

prune44.0ms (0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh000
Picked011
Done000
Total44448

Merged error: 0b

Counts
48 → 4
Compiler

Compiled 1088 to 203 computations (81.3% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t))))
2.4b
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))
2.4b
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))
2.4b
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))

rewrite39.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_2801
23×add-sqr-sqrt_binary64_2794
18×cbrt-div_binary64_2802
15×add-cube-cbrt_binary64_2805 *-un-lft-identity_binary64_2773
11×pow1_binary64_2831
9×flip3-+_binary64_2776 pow1/3_binary64_2852 flip-+_binary64_2747
6×swap-sqr_binary64_2740 add-exp-log_binary64_2808 associate-*l*_binary64_2716 associate-*r*_binary64_2715
4×unswap-sqr_binary64_2741 add-cbrt-cube_binary64_2806 add-log-exp_binary64_2809 frac-times_binary64_2783
2×pow-sqr_binary64_2746 pow-prod-down_binary64_2841 associate-*r/_binary64_2717 associate-*l/_binary64_2718 pow-prod-up_binary64_2840
1×cbrt-unprod_binary64_2803 *-commutative_binary64_2706 pow2_binary64_2851 prod-exp_binary64_2819 pow-plus_binary64_2833
Counts
4 → 87
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t))))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))

series1.0s (0.7%)

Counts
4 → 12
Calls

4 calls:

300.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t))))
241.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))
238.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))
237.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (*.f64 z t)))

simplify63.0ms (0%)

Algorithm
1×egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050552183

prune117.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4
Compiler

Compiled 4036 to 752 computations (81.4% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
0.0b
(sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
0.0b
(sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))))

rewrite70.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64_2794
24×sqrt-prod_binary64_2788
21×pow1_binary64_2831
16×sqrt-div_binary64_2789
14×add-cube-cbrt_binary64_2805 *-un-lft-identity_binary64_2773
13×add-log-exp_binary64_2809
10×sqrt-pow1_binary64_2790 pow1/2_binary64_2850
9×flip3-+_binary64_2776 flip-+_binary64_2747
8×swap-sqr_binary64_2740
6×add-exp-log_binary64_2808 associate-*l*_binary64_2716 sum-log_binary64_2861 add-cbrt-cube_binary64_2806 associate-*r*_binary64_2715
5×pow-prod-up_binary64_2840
4×unswap-sqr_binary64_2741 frac-times_binary64_2783
3×pow-sqr_binary64_2746 pow-prod-down_binary64_2841
2×associate-*r/_binary64_2717 associate-*l/_binary64_2718 rem-sqrt-square_binary64_2786
1×cbrt-unprod_binary64_2803 rem-square-sqrt_binary64_2785 sqrt-unprod_binary64_2792 *-commutative_binary64_2706 pow2_binary64_2851 prod-exp_binary64_2819 pow-plus_binary64_2833 +-commutative_binary64_2705 associate-+r+_binary64_2707
Counts
4 → 101
Calls

4 calls:

24.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))))
10.0ms
(+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
9.0ms
(sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
8.0ms
(sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))

series14.1s (9.4%)

Counts
4 → 12
Calls

4 calls:

6.7s
(sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
6.6s
(sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))))
431.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))) (sqrt.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))))
428.0ms
(+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))

simplify58.0ms (0%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
058143944

prune121.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done022
Total1134117

Merged error: 0b

Counts
117 → 4
Compiler

Compiled 4479 to 417 computations (90.7% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
0.0b
(+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
0.2b
(pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3)
43.2b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3))

rewrite46.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
18×add-log-exp_binary64_2809
12×cbrt-prod_binary64_2801
10×add-cube-cbrt_binary64_2805 add-sqr-sqrt_binary64_2794 *-un-lft-identity_binary64_2773
9×sum-log_binary64_2861
6×unpow-prod-down_binary64_2849 cube-prod_binary64_2798
5×add-exp-log_binary64_2808 pow1_binary64_2831 add-cbrt-cube_binary64_2806
4×cube-div_binary64_2799 flip3-+_binary64_2776 flip-+_binary64_2747
3×pow-unpow_binary64_2847
2×sqr-pow_binary64_2745 unpow3_binary64_2836 cube-mult_binary64_2800 cbrt-div_binary64_2802 +-commutative_binary64_2705 associate-+r+_binary64_2707
1×rem-cube-cbrt_binary64_2795 pow-exp_binary64_2838 pow-to-exp_binary64_2839 pow1/3_binary64_2852 rem-cbrt-cube_binary64_2796 pow-pow_binary64_2842
Counts
4 → 75
Calls

4 calls:

11.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3))
10.0ms
(+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))))
10.0ms
(pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3)
7.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))

series2.2min (87.9%)

Calls

1 calls:

425.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 c i) (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))) 3))

Profiling

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