Details

Time bar (total: 2.7s)

analyze25.0ms (1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample23.0ms (0.9%)

Algorithm
1×intervals
Results
9.0ms70×body512valid
5.0ms151×body128valid
2.0ms24×body256valid
1.0ms11×body1024valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify13.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
16×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
10×distribute-rgt-in_binary64
9×neg-mul-1_binary64
8×associate--r+_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32816
43516
55116
67316
78216
89416
99616
109016
117616

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
14.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶14.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 1 (+.f64 x 1))
2.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite208.0ms (7.8%)

Algorithm
1×rewrite-expression-head
Error
13.7b
Rules
118×*-un-lft-identity_binary64
95×add-sqr-sqrt_binary64
90×times-frac_binary64
43×add-cube-cbrt_binary64
30×distribute-lft-out--_binary64
Counts
3 → 151
Calls

3 calls:

64.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
4.0ms
(/.f64 1 (-.f64 x 1))
4.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 2350 to 1966 computations (16.3% saved)

series47.0ms (1.8%)

Error
0.1b
Counts
3 → 36
Calls

3 calls:

13.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
9.0ms
(/.f64 1 (+.f64 x 1))
9.0ms
(/.f64 1 (-.f64 x 1))
Compiler

Compiled 970 to 804 computations (17.1% saved)

simplify138.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
714×div-sub_binary64
268×sub-neg_binary64
234×associate-*l*_binary64
227×associate-*r*_binary64
191×distribute-rgt-in_binary64
Counts
187 → 162
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01802784
14552686
211582676
333842660
443332660
551612660

prune47.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh000
Picked101
Done000
Total1612163
Error
0.1b
Counts
163 → 2
Alt Table
StatusErrorProgram
▶0.1b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
29.0b
(+.f64 2 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 1243 to 978 computations (21.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 -2 (+.f64 (*.f64 x x) -1))

rewrite30.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
12×times-frac_binary64
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
4×associate-/r*_binary64
Counts
1 → 33
Calls

1 calls:

4.0ms
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 510 to 346 computations (32.2% saved)

series17.0ms (0.6%)

Error
0.1b
Counts
1 → 12
Calls

1 calls:

13.0ms
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 324 to 282 computations (13% saved)

simplify72.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
780×times-frac_binary64
254×cancel-sign-sub-inv_binary64
243×distribute-lft-out_binary64
205×distribute-rgt-out_binary64
191×neg-mul-1_binary64
Counts
45 → 24
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106828
1234772
2625766
31955763
44600763
55023763

prune15.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh101
Picked011
Done000
Total23326
Error
0.0b
Counts
26 → 3
Alt Table
StatusErrorProgram
21.1b
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 4) -1)) (-.f64 (*.f64 x x) -1))
▶0.1b
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
✓0.1b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 293 to 212 computations (27.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 -2 (+.f64 x -1))
0.0b
(/.f64 1 (+.f64 x 1))
0.1b
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))

rewrite125.0ms (4.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
69×*-un-lft-identity_binary64
63×add-sqr-sqrt_binary64
61×times-frac_binary64
39×add-cube-cbrt_binary64
31×add-exp-log_binary64
Counts
3 → 143
Calls

3 calls:

17.0ms
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
4.0ms
(/.f64 1 (+.f64 x 1))
4.0ms
(/.f64 -2 (+.f64 x -1))
Compiler

Compiled 2454 to 2061 computations (16% saved)

series48.0ms (1.8%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

13.0ms
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
10.0ms
(/.f64 1 (+.f64 x 1))
10.0ms
(/.f64 -2 (+.f64 x -1))
Compiler

Compiled 1051 to 885 computations (15.8% saved)

simplify120.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
429×times-frac_binary64
375×associate-/l*_binary64
333×associate-*l/_binary64
285×sub-neg_binary64
246×associate-*r/_binary64
Counts
179 → 134
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02212875
15632507
215882501
343472501
451102501

prune69.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1322134
Fresh011
Picked101
Done011
Total1334137
Error
0b
Counts
137 → 4
Alt Table
StatusErrorProgram
✓0.1b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
▶0.1b
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))
21.1b
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 4) -1)) (-.f64 (*.f64 x x) -1))
15.2b
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -2 (+.f64 x -1)))
Compiler

Compiled 1489 to 1157 computations (22.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 -2 (+.f64 x -1))
0.1b
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))

rewrite117.0ms (4.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
174×times-frac_binary64
161×*-un-lft-identity_binary64
98×add-sqr-sqrt_binary64
79×add-cube-cbrt_binary64
41×distribute-lft-out_binary64
Counts
2 → 163
Calls

2 calls:

10.0ms
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))
4.0ms
(/.f64 -2 (+.f64 x -1))
Compiler

Compiled 2575 to 2099 computations (18.5% saved)

series33.0ms (1.3%)

Error
0b
Counts
2 → 24
Calls

2 calls:

12.0ms
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))
11.0ms
(/.f64 -2 (+.f64 x -1))
Compiler

Compiled 691 to 587 computations (15.1% saved)

simplify158.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
457×div-sub_binary64
421×associate-/r*_binary64
406×associate-/l/_binary64
273×times-frac_binary64
270×associate-*l*_binary64
Counts
187 → 131
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02744330
16644050
217294044
343404044
449664044

prune55.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1292131
Fresh202
Picked011
Done011
Total1314135
Error
0b
Counts
135 → 4
Alt Table
StatusErrorProgram
0.1b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
0.1b
(/.f64 (/.f64 -2 (+.f64 x -1)) (+.f64 x 1))
5.0b
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 x -1)) 3)) (+.f64 x 1))
15.1b
(*.f64 (/.f64 -2 (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (+.f64 x -1)))
Compiler

Compiled 1400 to 1060 computations (24.3% saved)

regimes246.0ms (9.2%)

Accuracy

Total 0.1b remaining (80%)

Threshold costs 0.1b (80%)

Compiler

Compiled 4907 to 4065 computations (17.2% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11413
21513
31313

end0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.0s (38.3%)

Algorithm
1×intervals
Results
282.0ms2055×body512valid
239.0ms4538×body128valid
94.0ms986×body256valid
76.0ms421×body1024valid
Compiler

Compiled 73 to 60 computations (17.8% saved)

Profiling

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