Details

Time bar (total: 1.8s)

analyze3.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.6%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify129.0ms (7.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
046110
146110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))
0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite13.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_760
28×add-sqr-sqrt_binary64_782
24×times-frac_binary64_766
13×add-cube-cbrt_binary64_795
10×difference-of-squares_binary64_729
7×distribute-lft-out_binary64_711
6×associate-/r*_binary64_704
5×distribute-lft-out--_binary64_712
4×associate-/l*_binary64_705
3×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
2×associate-/r/_binary64_706 associate-/l/_binary64_707
1×frac-2neg_binary64_771 cbrt-undiv_binary64_794 flip3-+_binary64_763 add-log-exp_binary64_799 div-inv_binary64_757 flip-+_binary64_734 div-exp_binary64_811 pow1_binary64_821 clear-num_binary64_759 flip--_binary64_735 flip3--_binary64_764
Counts
1 → 50
Calls

2 calls:

9.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))
0.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))

series32.0ms (1.8%)

Counts
1 → 12
Calls

1 calls:

32.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))
Compiler

Compiled 132 to 126 computations (4.5% saved)

simplify62.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049541035
149541035

prune67.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh000
Picked101
Done000
Total61263
Error
0b
Counts
63 → 2
Compiler

Compiled 852 to 639 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (-.f64 1 x) (+.f64 x 1))
0.0b
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
0.0b
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
0.0b
(/.f64 (-.f64 1 x) (+.f64 x 1))

rewrite42.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Rules
214×*-un-lft-identity_binary64_760
210×times-frac_binary64_766
152×add-sqr-sqrt_binary64_782
89×add-cube-cbrt_binary64_795
42×difference-of-squares_binary64_729
34×associate-/r*_binary64_704
31×distribute-lft-out_binary64_711
21×distribute-lft-out--_binary64_712
15×add-exp-log_binary64_798
11×associate-/r/_binary64_706
9×add-cbrt-cube_binary64_796 associate-/l*_binary64_705
8×div-exp_binary64_811
6×div-inv_binary64_757
5×flip3-+_binary64_763 flip-+_binary64_734
4×cbrt-undiv_binary64_794
3×pow1_binary64_821
2×frac-2neg_binary64_771 associate-/l/_binary64_707 add-log-exp_binary64_799 rec-exp_binary64_810 clear-num_binary64_759 1-exp_binary64_804
1×inv-pow_binary64_845 div-sub_binary64_765 flip--_binary64_735 pow-flip_binary64_834 flip3--_binary64_764
Counts
2 → 195
Calls

4 calls:

13.0ms
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
8.0ms
(/.f64 (-.f64 1 x) (+.f64 x 1))
0.0ms
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
0.0ms
(/.f64 (-.f64 1 x) (+.f64 x 1))

series67.0ms (3.7%)

Counts
2 → 24
Calls

2 calls:

35.0ms
(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 x 1)))
31.0ms
(/.f64 (-.f64 1 x) (+.f64 x 1))
Compiler

Compiled 282 to 270 computations (4.3% saved)

simplify106.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
056144396

prune228.0ms (12.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2190219
Fresh011
Picked011
Done000
Total2192221
Error
0b
Counts
221 → 2
Compiler

Compiled 3608 to 2799 computations (22.4% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

15.7b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1 1)) (*.f64 (-.f64 1 x) (-.f64 x 1)))
0.0b
(*.f64 (-.f64 1 x) (-.f64 x 1))
0.0b
(*.f64 (-.f64 1 x) (-.f64 x 1))
15.7b
(/.f64 (-.f64 (*.f64 x x) (*.f64 1 1)) (*.f64 (-.f64 1 x) (-.f64 x 1)))

rewrite31.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_782
14×*-un-lft-identity_binary64_760
13×flip--_binary64_735 flip3--_binary64_764
9×add-exp-log_binary64_798 add-cbrt-cube_binary64_796
8×associate-/r/_binary64_706 add-cube-cbrt_binary64_795 frac-times_binary64_770
7×associate-*r*_binary64_700
6×cancel-sign-sub-inv_binary64_726 difference-of-squares_binary64_729 associate-*l*_binary64_701
4×associate-*l/_binary64_703 distribute-lft-in_binary64_709 distribute-rgt-in_binary64_710 associate-/l*_binary64_705 associate-*r/_binary64_702 pow1_binary64_821 times-frac_binary64_766
2×cbrt-undiv_binary64_794 prod-exp_binary64_809 associate-/l/_binary64_707 add-log-exp_binary64_799 distribute-lft-out--_binary64_712 cbrt-unprod_binary64_793 div-exp_binary64_811 sub-neg_binary64_753
1×unswap-sqr_binary64_728 frac-2neg_binary64_771 associate-/r*_binary64_704 div-inv_binary64_757 difference-of-sqr-1_binary64_730 div-sub_binary64_765 clear-num_binary64_759 pow-prod-down_binary64_831 *-commutative_binary64_691
Counts
2 → 75
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1 1)) (*.f64 (-.f64 1 x) (-.f64 x 1)))
11.0ms
(*.f64 (-.f64 1 x) (-.f64 x 1))
0.0ms
(*.f64 (-.f64 1 x) (-.f64 x 1))
0.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1 1)) (*.f64 (-.f64 1 x) (-.f64 x 1)))

series96.0ms (5.2%)

Counts
2 → 21
Calls

2 calls:

56.0ms
(*.f64 (-.f64 1 x) (-.f64 x 1))
39.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 1 1)) (*.f64 (-.f64 1 x) (-.f64 x 1)))
Compiler

Compiled 312 to 275 computations (11.9% saved)

simplify64.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
057131300

prune80.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298
Error
0b
Counts
98 → 2
Compiler

Compiled 1654 to 1110 computations (32.9% saved)

simplify5.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067163
167163

regimes46.0ms (2.5%)

Compiler

Compiled 269 to 238 computations (11.5% saved)

bsearch0.0ms (0%)

regimes20.0ms (1.1%)

Compiler

Compiled 56 to 58 computations (-3.6% saved)

bsearch0.0ms (0%)

regimes23.0ms (1.3%)

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch26.0ms (1.4%)

Steps
ItersRangePoint
10
5.756132414546603e-11
3027.709770242239
0.9960715189560951
11
-1.0683684742596149e+24
-0.007102553974907408
-1.014489998475607
Compiler

Compiled 1 to 1 computations (0% saved)

regimes22.0ms (1.2%)

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch25.0ms (1.4%)

Steps
ItersRangePoint
10
5.756132414546603e-11
3027.709770242239
0.9960715189560951
11
-1.0683684742596149e+24
-0.007102553974907408
-1.014489998475607
Compiler

Compiled 1 to 1 computations (0% saved)

regimes21.0ms (1.2%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch24.0ms (1.3%)

Steps
ItersRangePoint
10
5.756132414546603e-11
3027.709770242239
0.9960715189560951
11
-1.0683684742596149e+24
-0.007102553974907408
-1.014489998475607
Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.4%)

Accuracy

Total 0.0b remaining (93.3%)

Threshold costs 0.0b (93.3%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch4.0ms (0.2%)

Compiler

Compiled 62 to 55 computations (11.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05087
15087

end0.0ms (0%)

sample550.0ms (30.1%)

Algorithm
1×intervals
Results
171.0ms8000×body128valid
Compiler

Compiled 180 to 159 computations (11.7% saved)

Pareto

0.5479982279689111

Profiling

Loading profile data...