Details

Time bar (total: 2.5s)

analyze94.0ms (3.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 17 computations (29.2% saved)

sample23.0ms (0.9%)

Algorithm
intervals
Results
7.0ms256×pre128true
7.0ms256×body128valid
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify57.0ms (2.3%)

Algorithm
egg-herbie
Rules
409×fma-def_binary64
352×fma-neg_binary64
228×div-sub_binary64
166×associate-/l/_binary64
143×times-frac_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22010
33310
44610
57410
612210
720910
835410
955610
1069410
1179310
1280410
1380410
1480810
1582010
1683010
1775410

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
8.3b
Counts
1 → 1
Alt Table
StatusErrorProgram
8.3b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 x0 (-.f64 1 x1))
7.5b
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite80.0ms (3.2%)

Algorithm
rewrite-expression-head
Error
6.3b
Rules
32×add-cube-cbrt_binary64
10×add-sqr-sqrt_binary64
10×add-cbrt-cube_binary64
flip3--_binary64
add-exp-log_binary64
Counts
2 → 94
Calls

2 calls:

15.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
14.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 1675 to 957 computations (42.9% saved)

series28.0ms (1.1%)

Error
4.2b
Counts
2 → 18
Calls

2 calls:

12.0ms
(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
10.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 431 to 279 computations (35.3% saved)

simplify80.0ms (3.2%)

Algorithm
egg-herbie
Rules
787×fma-def_binary64
535×associate-/l*_binary64
365×fma-neg_binary64
270×associate-/r*_binary64
172×distribute-rgt-in_binary64
Counts
112 → 47
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01461312
13521287
212661216
346011216
449541216

prune20.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh000
Picked101
Done000
Total46248
Error
4.2b
Counts
48 → 2
Alt Table
StatusErrorProgram
7.5b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x0 (-.f64 1 x1))) (sqrt.f64 (/.f64 x0 (-.f64 1 x1)))) x0)
17.0b
(fma.f64 x0 (pow.f64 x1 4) (*.f64 x1 (fma.f64 x1 (fma.f64 x1 x0 x0) x0)))
Compiler

Compiled 601 to 364 computations (39.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

1.0b
(/.f64 x0 (-.f64 1 x1))
1.0b
(/.f64 x0 (-.f64 1 x1))
7.5b
(-.f64 (*.f64 (sqrt.f64 (/.f64 x0 (-.f64 1 x1))) (sqrt.f64 (/.f64 x0 (-.f64 1 x1)))) x0)

rewrite121.0ms (4.8%)

Algorithm
rewrite-expression-head
Error
3.5b
Rules
42×add-cube-cbrt_binary64
17×add-cbrt-cube_binary64
14×add-exp-log_binary64
13×add-sqr-sqrt_binary64
12×pow1_binary64
Counts
3 → 143
Calls

3 calls:

18.0ms
(-.f64 (*.f64 (sqrt.f64 (/.f64 x0 (-.f64 1 x1))) (sqrt.f64 (/.f64 x0 (-.f64 1 x1)))) x0)
16.0ms
(/.f64 x0 (-.f64 1 x1))
16.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 3303 to 2119 computations (35.8% saved)

series51.0ms (2%)

Error
4.2b
Counts
3 → 27
Calls

3 calls:

18.0ms
(-.f64 (*.f64 (sqrt.f64 (/.f64 x0 (-.f64 1 x1))) (sqrt.f64 (/.f64 x0 (-.f64 1 x1)))) x0)
14.0ms
(/.f64 x0 (-.f64 1 x1))
11.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 923 to 611 computations (33.8% saved)

simplify94.0ms (3.7%)

Algorithm
egg-herbie
Rules
779×fma-def_binary64
536×associate-/l*_binary64
383×fma-neg_binary64
278×associate-/r*_binary64
155×distribute-rgt-in_binary64
Counts
170 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01451795
13491760
212541675
346271675
449901675

prune28.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80181
Fresh011
Picked101
Done000
Total81283
Error
4.0b
Counts
83 → 2
Alt Table
StatusErrorProgram
7.7b
(/.f64 (-.f64 (pow.f64 (/.f64 x0 (-.f64 1 x1)) 2) (*.f64 x0 x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
17.0b
(fma.f64 x0 (pow.f64 x1 4) (*.f64 x1 (fma.f64 x1 (fma.f64 x1 x0 x0) x0)))
Compiler

Compiled 1208 to 764 computations (36.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b
(/.f64 x0 (-.f64 1 x1))
1.0b
(/.f64 x0 (-.f64 1 x1))
6.7b
(-.f64 (pow.f64 (/.f64 x0 (-.f64 1 x1)) 2) (*.f64 x0 x0))

rewrite166.0ms (6.6%)

Algorithm
rewrite-expression-head
Error
3.1b
Rules
50×add-cube-cbrt_binary64
20×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
16×add-sqr-sqrt_binary64
Counts
4 → 183
Calls

4 calls:

31.0ms
(/.f64 x0 (-.f64 1 x1))
16.0ms
(-.f64 (pow.f64 (/.f64 x0 (-.f64 1 x1)) 2) (*.f64 x0 x0))
14.0ms
(/.f64 x0 (-.f64 1 x1))
13.0ms
(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
Compiler

Compiled 4596 to 2816 computations (38.7% saved)

series75.0ms (3%)

Error
4.0b
Counts
4 → 38
Calls

4 calls:

24.0ms
(-.f64 (pow.f64 (/.f64 x0 (-.f64 1 x1)) 2) (*.f64 x0 x0))
15.0ms
(/.f64 x0 (-.f64 1 x1))
13.0ms
(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
12.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 1876 to 1255 computations (33.1% saved)

simplify125.0ms (5%)

Algorithm
egg-herbie
Rules
684×fma-neg_binary64
303×cancel-sign-sub-inv_binary64
242×distribute-rgt-in_binary64
199×distribute-rgt-out_binary64
188×distribute-rgt-neg-in_binary64
Counts
221 → 99
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02012922
15012695
218762595
343542591
448782591

prune39.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New98199
Fresh101
Picked101
Done000
Total1001101
Error
0.5b
Counts
101 → 1
Alt Table
StatusErrorProgram
0.5b
(/.f64 (*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1)))))) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
Compiler

Compiled 1986 to 1217 computations (38.7% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1))))))
0.5b
(/.f64 (*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1)))))) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
0.5b
(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
1.0b
(/.f64 x0 (-.f64 1 x1))

rewrite151.0ms (6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
38×add-cube-cbrt_binary64
26×add-exp-log_binary64
22×add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
17×pow1_binary64
Counts
4 → 172
Calls

4 calls:

15.0ms
(/.f64 (*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1)))))) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
14.0ms
(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
14.0ms
(/.f64 x0 (-.f64 1 x1))
12.0ms
(*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1))))))
Compiler

Compiled 4115 to 2389 computations (41.9% saved)

series100.0ms (4%)

Error
0b
Counts
4 → 36
Calls

4 calls:

37.0ms
(/.f64 (*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1)))))) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
26.0ms
(*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1))))))
13.0ms
(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
12.0ms
(/.f64 x0 (-.f64 1 x1))
Compiler

Compiled 1838 to 1320 computations (28.2% saved)

simplify133.0ms (5.3%)

Algorithm
egg-herbie
Rules
362×unswap-sqr_binary64
302×fma-neg_binary64
262×associate-*l*_binary64
238×associate-*r*_binary64
205×cancel-sign-sub-inv_binary64
Counts
208 → 116
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02433545
16243195
226893153
348533153
449733153

prune57.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh000
Picked011
Done000
Total1152117
Error
0b
Counts
117 → 2
Alt Table
StatusErrorProgram
0.5b
(/.f64 (*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1)))))) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
0.5b
(/.f64 (*.f64 (*.f64 x0 x0) (expm1.f64 (neg.f64 (*.f64 2 (log1p.f64 (neg.f64 x1)))))) (+.f64 x0 (*.f64 (cbrt.f64 (/.f64 x0 (/.f64 (pow.f64 (-.f64 1 x1) 2) x0))) (cbrt.f64 (/.f64 x0 (-.f64 1 x1))))))
Compiler

Compiled 2200 to 1403 computations (36.2% saved)

regimes174.0ms (6.9%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 5803 to 4087 computations (29.6% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832
13432
24332
34732
44832
54632

end1.0ms (0%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample776.0ms (30.9%)

Algorithm
intervals
Results
236.0ms8000×pre128true
230.0ms8000×body128valid
Compiler

Compiled 102 to 74 computations (27.5% saved)

Profiling

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