Details

Time bar (total: 1.8s)

analyze41.0ms (2.2%)

Algorithm
1×search
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
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample909.0ms (49.8%)

Results
793.0ms8256×body128valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify73.0ms (4%)

Algorithm
1×egg-herbie
Rules
694×fma-def_binary64
621×fma-neg_binary64
457×times-frac_binary64
316×div-sub_binary64
141×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0712
11812
23812
37112
415212
520712
659710
793710
8131410
9133710
10134210
11136910
12137910
13137910
14127410

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 35 to 18 computations (48.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

series9.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite10.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
6×distribute-lft-out_binary64
Counts
1 → 47
Calls

1 calls:

7.0ms
(/.f64 (+.f64 f n) (-.f64 n f))

simplify123.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
360×cancel-sign-sub-inv_binary64
305×neg-mul-1_binary64
284×div-sub_binary64
252×fma-def_binary64
243×fma-neg_binary64
Counts
71 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01081291
12741214
27951163
325941145
444361145
551071145

prune75.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh000
Picked011
Done000
Total54458
Error
0b
Counts
58 → 4
Alt Table
StatusErrorProgram
▶0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
35.8b
(fma.f64 (/.f64 n f) -2 -1)
27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 918 to 317 computations (65.5% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
✓0.0b
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series34.0ms (1.8%)

Counts
2 → 48
Calls

2 calls:

17.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
15.0ms
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite34.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
116×*-un-lft-identity_binary64
80×times-frac_binary64
76×add-sqr-sqrt_binary64
58×cbrt-prod_binary64
52×cube-prod_binary64
Counts
2 → 144
Calls

2 calls:

9.0ms
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
8.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))

simplify163.0ms (8.9%)

Algorithm
1×egg-herbie
Rules
413×fma-def_binary64
329×unswap-sqr_binary64
283×distribute-rgt-in_binary64
228×log-prod_binary64
219×distribute-lft-in_binary64
Counts
192 → 144
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02274212
16303868
220803747
345903741
449743741

prune114.0ms (6.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2010201
Fresh022
Picked011
Done011
Total2014205
Error
0b
Counts
205 → 4
Alt Table
StatusErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
35.8b
(fma.f64 (/.f64 n f) -2 -1)
▶27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 3775 to 1486 computations (60.6% saved)

localize4.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
▶35.8b
(fma.f64 (/.f64 n f) -2 -1)
✓27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 45 to 31 computations (31.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (/.f64 n f) -2 -1)

series7.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

7.0ms
(fma.f64 (/.f64 n f) -2 -1)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (/.f64 n f) -2 -1)

simplify53.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
891×fma-def_binary64
579×unsub-neg_binary64
501×div-sub_binary64
441×associate-*l/_binary64
371×associate-*r/_binary64
Counts
34 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023367
140278
283278
3291278
41042278
53601278
64973278

prune52.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New22022
Fresh000
Picked011
Done033
Total22426
Error
0b
Counts
26 → 4
Alt Table
StatusErrorProgram
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
✓35.8b
(fma.f64 (/.f64 n f) -2 -1)
✓27.3b
(fma.f64 2 (/.f64 f n) 1)
✓0.0b
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 257 to 170 computations (33.9% saved)

regimes41.0ms (2.3%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Counts
16 → 1
Compiler

Compiled 419 to 293 computations (30.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
11812
22912
33712
44012
54012

end60.0ms (3.3%)

Compiler

Compiled 57 to 37 computations (35.1% saved)

Profiling

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