Details

Time bar (total: 5.8s)

analyze660.0ms (11.4%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022870
122870
044
144
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
18.7%81.1%0.2%9
21.8%78%0.2%10
25%74.9%0.2%11
34.7%64.9%0.4%12
47.2%51.9%0.9%13
49%49.2%1.8%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample35.0ms (0.6%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
2.0ms63×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06810
16810

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.5b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.1b
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite30.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
13×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
4×prod-exp_binary64_2855 div-exp_binary64_2857 cbrt-undiv_binary64_2840 cbrt-unprod_binary64_2839
1×pow1_binary64_2867 add-log-exp_binary64_2845 add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 frac-2neg_binary64_2817 times-frac_binary64_2812 *-un-lft-identity_binary64_2806 clear-num_binary64_2805 div-inv_binary64_2803 associate-/l*_binary64_2751 associate-/r*_binary64_2750
Counts
1 → 21
Calls

1 calls:

6.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 291 to 77 computations (73.5% saved)

series184.0ms (3.2%)

Error
12.5b
Counts
1 → 12
Calls

1 calls:

179.0ms
(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify77.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05076370

prune26.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New28533
Fresh000
Picked011
Done000
Total28634
Error
0.1b
Counts
34 → 6
Compiler

Compiled 336 to 90 computations (73.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.6b
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite56.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
27×add-sqr-sqrt_binary64_2828
22×times-frac_binary64_2812
15×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
13×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 associate-*l*_binary64_2747 associate-*r*_binary64_2746
4×div-exp_binary64_2857 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 cbrt-undiv_binary64_2840 unswap-sqr_binary64_2774
3×pow1_binary64_2867
2×div-inv_binary64_2803
1×pow-prod-down_binary64_2877 add-log-exp_binary64_2845 frac-times_binary64_2816 associate-*l/_binary64_2749 associate-*r/_binary64_2748 *-commutative_binary64_2737
Counts
1 → 50
Calls

1 calls:

11.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 744 to 196 computations (73.7% saved)

series190.0ms (3.3%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

185.0ms
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify89.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04985803
14985803

prune44.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New57562
Fresh134
Picked011
Done011
Total581068
Error
0.0b
Counts
68 → 10
Compiler

Compiled 807 to 217 computations (73.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 b2)
0.6b
(cbrt.f64 b2)
3.5b
(/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
5.9b
(*.f64 (/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 a2 (cbrt.f64 b2)))

rewrite160.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
86×times-frac_binary64_2812
68×add-sqr-sqrt_binary64_2828
57×add-exp-log_binary64_2844
41×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
40×add-cbrt-cube_binary64_2842
23×div-exp_binary64_2857 cbrt-undiv_binary64_2840
22×associate-*r*_binary64_2746
18×cbrt-prod_binary64_2837
17×associate-*l*_binary64_2747
16×prod-exp_binary64_2855 cbrt-unprod_binary64_2839
13×associate-/l*_binary64_2751
9×unswap-sqr_binary64_2774
6×pow1_binary64_2867 div-inv_binary64_2803
4×add-log-exp_binary64_2845
2×pow1/3_binary64_2888
1×pow-prod-down_binary64_2877 frac-times_binary64_2816 associate-*l/_binary64_2749 associate-*r/_binary64_2748 *-commutative_binary64_2737 frac-2neg_binary64_2817 clear-num_binary64_2805 associate-/l/_binary64_2753 associate-/r*_binary64_2750
Counts
4 → 148
Calls

4 calls:

25.0ms
(*.f64 (/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 a2 (cbrt.f64 b2)))
8.0ms
(/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
1.0ms
(cbrt.f64 b2)
1.0ms
(cbrt.f64 b2)
Compiler

Compiled 3354 to 554 computations (83.5% saved)

series785.0ms (13.5%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

399.0ms
(/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))
223.0ms
(*.f64 (/.f64 (/.f64 a1 b1) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))) (/.f64 a2 (cbrt.f64 b2)))
79.0ms
(cbrt.f64 b2)
69.0ms
(cbrt.f64 b2)
Compiler

Compiled 1020 to 762 computations (25.3% saved)

simplify88.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049632711
149632711

prune122.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1750175
Fresh077
Picked011
Done022
Total17510185
Error
0.0b
Counts
185 → 10
Compiler

Compiled 3001 to 821 computations (72.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.9b
(*.f64 a1 (/.f64 a2 b2))
6.0b
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)

rewrite56.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64_2828
16×add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
13×times-frac_binary64_2812 associate-*r*_binary64_2746
12×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
5×div-exp_binary64_2857 cbrt-undiv_binary64_2840
4×pow1_binary64_2867 prod-exp_binary64_2855 cbrt-unprod_binary64_2839
3×associate-/r*_binary64_2750 associate-*l*_binary64_2747
2×add-log-exp_binary64_2845 div-inv_binary64_2803 associate-*r/_binary64_2748 unswap-sqr_binary64_2774
1×frac-2neg_binary64_2817 clear-num_binary64_2805 associate-/l/_binary64_2753 associate-/l*_binary64_2751 pow-prod-down_binary64_2877 *-commutative_binary64_2737
Counts
2 → 56
Calls

2 calls:

7.0ms
(*.f64 a1 (/.f64 a2 b2))
6.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
Compiler

Compiled 754 to 218 computations (71.1% saved)

series295.0ms (5.1%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

193.0ms
(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
92.0ms
(*.f64 a1 (/.f64 a2 b2))
Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify93.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04958800
14958800

prune38.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh246
Picked011
Done123
Total79887
Error
0.0b
Counts
87 → 8
Compiler

Compiled 788 to 171 computations (78.3% saved)

regimes993.0ms (17.1%)

Accuracy

Total 2.4b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 4639 to 3498 computations (24.6% saved)

bsearch2.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

simplify40.0ms (0.7%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044149
144149
Compiler

Compiled 392 to 140 computations (64.3% saved)

end0.0ms (0%)

sample1.7s (29.3%)

Algorithm
1×intervals
Results
237.0ms8000×body128valid
53.0ms1976×body128invalid
Compiler

Compiled 702 to 494 computations (29.6% saved)

Profiling

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