Details

Time bar (total: 3.7s)

analyze255.0ms (6.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09446
19446
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
48.4%5.4%46.2%13
48.4%5%46.6%14
Symmetry
Compiler

Compiled 17 to 17 computations (0% saved)

sample31.0ms (0.8%)

Algorithm
1×intervals
Results
18.0ms256×body128valid
1.0ms18×body128nan
Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
05423
15423

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
1.0b
Counts
2 → 1
Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.9b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(*.f64 PI.f64 2/3)

rewrite112.0ms (3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64_2828
14×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
9×times-frac_binary64_2812
8×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
6×pow1_binary64_2867 add-log-exp_binary64_2845 div-sub_binary64_2811
4×associate-+r-_binary64_2740
3×associate-*l*_binary64_2747 associate-*r*_binary64_2746 distribute-frac-neg_binary64_2769 acos-neg_binary64_2989 acos-asin_binary64_2987 associate-/l*_binary64_2751 associate-/r*_binary64_2750
2×cos-diff_binary64_2943
1×pow-prod-down_binary64_2877 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 unswap-sqr_binary64_2774 *-commutative_binary64_2737 cos-sum_binary64_2940 sum-log_binary64_2897 flip3-+_binary64_2809 flip-+_binary64_2780 +-commutative_binary64_2736 div-exp_binary64_2857 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 clear-num_binary64_2805 div-inv_binary64_2803
Counts
4 → 70
Calls

4 calls:

11.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms
(*.f64 PI.f64 2/3)
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
Compiler

Compiled 1595 to 940 computations (41.1% saved)

series278.0ms (7.5%)

Error
1.0b
Counts
4 → 18
Calls

4 calls:

150.0ms
(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
63.0ms
(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
49.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms
(*.f64 PI.f64 2/3)
Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify96.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
051831544

prune91.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh000
Picked101
Done000
Total87289
Error
0.9b
Counts
89 → 2
Compiler

Compiled 1705 to 1013 computations (40.6% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

1.0b
(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite39.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
9×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 times-frac_binary64_2812 *-un-lft-identity_binary64_2806
3×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 associate-/l*_binary64_2751 associate-/r*_binary64_2750
1×pow1_binary64_2867 div-exp_binary64_2857 add-log-exp_binary64_2845 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 acos-asin_binary64_2987 div-sub_binary64_2811 clear-num_binary64_2805 div-inv_binary64_2803
Counts
1 → 28
Calls

1 calls:

4.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
Compiler

Compiled 555 to 351 computations (36.8% saved)

series51.0ms (1.4%)

Error
0.9b
Counts
1 → 6
Calls

1 calls:

44.0ms
(/.f64 (acos.f64 (/.f64 g h)) 3)
Compiler

Compiled 216 to 196 computations (9.3% saved)

simplify141.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
04673495
14673495

prune39.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New32234
Fresh101
Picked101
Done000
Total34236
Error
0b
Counts
36 → 2
Compiler

Compiled 621 to 409 computations (34.1% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
0.0b
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite218.0ms (5.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
53×add-sqr-sqrt_binary64_2828
51×times-frac_binary64_2812
49×add-exp-log_binary64_2844
35×*-un-lft-identity_binary64_2806
32×add-cube-cbrt_binary64_2841
24×cbrt-prod_binary64_2837
22×associate-*r*_binary64_2746
20×prod-exp_binary64_2855
17×add-cbrt-cube_binary64_2842
16×div-exp_binary64_2857
9×unswap-sqr_binary64_2774
8×cbrt-undiv_binary64_2840 cbrt-unprod_binary64_2839
7×associate-*l*_binary64_2747
6×associate-/r*_binary64_2750
4×pow1_binary64_2867 1-exp_binary64_2850 rec-exp_binary64_2856
3×div-inv_binary64_2803 associate-/l*_binary64_2751
2×add-log-exp_binary64_2845
1×frac-2neg_binary64_2817 acos-asin_binary64_2987 div-sub_binary64_2811 clear-num_binary64_2805 pow-prod-down_binary64_2877 frac-times_binary64_2816 associate-*l/_binary64_2749 associate-*r/_binary64_2748 *-commutative_binary64_2737
Counts
2 → 110
Calls

2 calls:

19.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
4.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))
Compiler

Compiled 3429 to 2594 computations (24.4% saved)

series259.0ms (6.9%)

Error
0b
Counts
2 → 12
Calls

2 calls:

153.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))
94.0ms
(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))
Compiler

Compiled 648 to 604 computations (6.8% saved)

simplify101.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049982417
149982417

prune157.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done000
Total1222124
Error
0b
Counts
124 → 2
Compiler

Compiled 3041 to 2244 computations (26.2% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

1.0b
(*.f64 1/3 (acos.f64 (/.f64 g h)))

rewrite20.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
5×add-sqr-sqrt_binary64_2828
3×pow1_binary64_2867 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806 associate-*l*_binary64_2747 associate-*r*_binary64_2746
1×pow-prod-down_binary64_2877 prod-exp_binary64_2855 add-log-exp_binary64_2845 cbrt-unprod_binary64_2839 unswap-sqr_binary64_2774 *-commutative_binary64_2737
Counts
1 → 18
Calls

1 calls:

4.0ms
(*.f64 1/3 (acos.f64 (/.f64 g h)))
Compiler

Compiled 331 to 214 computations (35.3% saved)

series48.0ms (1.3%)

Error
0b
Counts
1 → 6
Calls

1 calls:

44.0ms
(*.f64 1/3 (acos.f64 (/.f64 g h)))
Compiler

Compiled 216 to 196 computations (9.3% saved)

simplify58.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05338266

prune19.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New24024
Fresh000
Picked011
Done011
Total24226
Error
0b
Counts
26 → 2
Compiler

Compiled 375 to 250 computations (33.3% saved)

regimes340.0ms (9.1%)

Accuracy

Total 0.0b remaining (98.5%)

Threshold costs 0.0b (98.5%)

Compiler

Compiled 3666 to 3420 computations (6.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04131
14131
Removed

()

end0.0ms (0%)

sample1.3s (35.2%)

Algorithm
1×intervals
Results
619.0ms8000×body128valid
31.0ms514×body128nan
Compiler

Compiled 356 to 336 computations (5.6% saved)

Profiling

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