Details

Time bar (total: 2.3s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
62.5%6.2%31.3%6
65.6%3.1%31.3%7
65.6%1.6%32.8%8
66.4%0.8%32.8%9
66.4%0.4%33.2%10
66.6%0.2%33.2%11
66.6%0.1%33.3%12
66.6%0%33.3%13
66.6%0%33.3%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample830.0ms (35.7%)

Results
817.0ms8256×body128valid
0.0msbody128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess47.0ms (2%)

Algorithm
egg-herbie
Rules
986×fma-neg_binary64
313×distribute-rgt-neg-in_binary64
301×associate-*l*_binary64
241×fma-def_binary64
233×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12111
25511
313511
422811
539211
676211
7159511
8251411
9370711
10462311
011
Stop Event
saturated
node limit
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify37.0ms (1.6%)

Algorithm
egg-herbie
Rules
986×fma-neg_binary64
313×distribute-rgt-neg-in_binary64
301×associate-*l*_binary64
241×fma-def_binary64
233×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
12111
25511
313511
422811
539211
676211
7159511
8251411
9370711
10462311
Stop Event
node limit
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(*.f64 x (fma.f64 x (*.f64 x -6450306886639899/50000000000000000) 238732414637843/250000000000000))
0.2b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 62 to 41 computations (33.9% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
0.1b
(*.f64 238732414637843/250000000000000 x)
0.1b
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
0.1b
(*.f64 (*.f64 x x) x)

series10.0ms (0.4%)

Counts
4 → 36
Calls

12 calls:

1.0ms
(*.f64 (*.f64 x x) x)
x
inf
1.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
x
-inf
1.0ms
(-.f64 (*.f64 238732414637843/250000000000000 x) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
x
inf
1.0ms
(*.f64 (*.f64 x x) x)
x
-inf
1.0ms
(*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x))
x
-inf

rewrite73.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
459×log-prod_binary64
403×fma-def_binary64
178×egg-rr
178×fma-neg_binary64
166×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
120426
2260626
Stop Event
node limit
Counts
4 → 227

simplify36.0ms (1.6%)

Algorithm
egg-herbie
Rules
818×unswap-sqr_binary64
608×fma-def_binary64
298×distribute-rgt-neg-in_binary64
281×distribute-lft-neg-in_binary64
251×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011267
127249
268249
3205249
4452249
51150249
61887249
72780249
Stop Event
node limit
Counts
263 → 235

prune243.0ms (10.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2269235
Fresh101
Picked101
Done000
Total2289237
Error
0.0b
Counts
237 → 9
Alt Table
StatusErrorProgram
1.2b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
26.4b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
0.2b
(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
32.1b
(-.f64 (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
29.8b
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
0.2b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
30.1b
(*.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
30.3b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
1.1b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 5092 to 3907 computations (23.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x 238732414637843/250000000000000)
0.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
0.1b
(*.f64 -6450306886639899/50000000000000000 x)

series6.0ms (0.3%)

Counts
3 → 24
Calls

9 calls:

1.0ms
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
x
-inf
1.0ms
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
x
inf
1.0ms
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 x 238732414637843/250000000000000))
x
0
1.0ms
(*.f64 -6450306886639899/50000000000000000 x)
x
0
0.0ms
(*.f64 -6450306886639899/50000000000000000 x)
x
inf

rewrite48.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
704×pow1_binary64
655×add-log-exp_binary64
655×log1p-expm1-u_binary64
655×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
116221
2181121
Stop Event
node limit
Counts
3 → 46

simplify32.0ms (1.4%)

Algorithm
egg-herbie
Rules
818×unswap-sqr_binary64
608×fma-def_binary64
297×distribute-rgt-neg-in_binary64
281×distribute-lft-neg-in_binary64
251×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011183
127165
268165
3204165
4455165
51180165
61922165
72814165
Stop Event
node limit
Counts
70 → 51

prune46.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49251
Fresh268
Picked101
Done000
Total52860
Error
0.0b
Counts
60 → 8
Alt Table
StatusErrorProgram
1.2b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
26.4b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
29.8b
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
32.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
1.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3))
30.1b
(*.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
30.3b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.2b
(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
Compiler

Compiled 917 to 658 computations (28.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
0.1b
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
0.1b
(*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)
33.6b
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))

series21.0ms (0.9%)

Counts
4 → 48
Calls

12 calls:

3.0ms
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
x
inf
2.0ms
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000)))
x
-inf
2.0ms
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
x
inf
2.0ms
(fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))
x
-inf
2.0ms
(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
x
-inf

rewrite57.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
418×log-prod_binary64
260×pow2_binary64
241×prod-diff_binary64
184×expm1-udef_binary64
184×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01167
123246
2243746
Stop Event
node limit
Counts
4 → 106

simplify38.0ms (1.6%)

Algorithm
egg-herbie
Rules
818×unswap-sqr_binary64
608×fma-def_binary64
297×distribute-rgt-neg-in_binary64
281×distribute-lft-neg-in_binary64
249×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012315
128297
268297
3204297
4455297
51181297
61920297
72813297
Stop Event
node limit
Counts
154 → 114

prune134.0ms (5.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh077
Picked011
Done000
Total1148122
Error
0.0b
Counts
122 → 8
Alt Table
StatusErrorProgram
1.2b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
26.4b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
29.8b
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
32.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
1.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3))
30.1b
(*.f64 (-.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000) (*.f64 41606458931834106848498498730201/2500000000000000000000000000000000 (pow.f64 x 6))) (/.f64 1 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
30.3b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.2b
(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
Compiler

Compiled 2442 to 1966 computations (19.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3))
0.1b
(*.f64 -6450306886639899/50000000000000000 x)
0.6b
(cbrt.f64 (*.f64 x 238732414637843/250000000000000))
0.7b
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)

series70.0ms (3%)

Counts
3 → 3
Calls

9 calls:

21.0ms
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
x
-inf
11.0ms
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3))
x
-inf
9.0ms
(cbrt.f64 (*.f64 x 238732414637843/250000000000000))
x
-inf
7.0ms
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3))
x
inf
6.0ms
(pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3)
x
0

rewrite56.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
822×log1p-expm1-u_binary64
822×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
94×add-log-exp_binary64
93×add-cube-cbrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01124
123223
2231623
Stop Event
node limit
Counts
3 → 77

simplify64.0ms (2.7%)

Algorithm
egg-herbie
Rules
728×sqr-pow_binary64
438×associate-*l*_binary64
362×unswap-sqr_binary64
313×pow-sqr_binary64
256×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
11521
23221
35721
411621
531521
6114321
7182821
8191521
9204821
10220621
11243621
12275821
13317921
14367921
15427421
16499621
Stop Event
node limit
Counts
80 → 78

prune61.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh156
Picked011
Done011
Total89998
Error
0.0b
Counts
98 → 9
Alt Table
StatusErrorProgram
1.0b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 238732414637843/250000000000000) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 2))))
1.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 238732414637843/250000000000000)) 3))
1.2b
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
26.4b
(-.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000)) (*.f64 6450306886639899/50000000000000000 (*.f64 (*.f64 x x) x)))
29.8b
(pow.f64 (sqrt.f64 (fma.f64 x 238732414637843/250000000000000 (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))) 2)
32.1b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (sqrt.f64 (*.f64 (*.f64 x x) 56993165798814994692847692649/62500000000000000000000000000)))
1.0b
(fma.f64 (*.f64 -6450306886639899/50000000000000000 x) (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 238732414637843/250000000000000)) 3))
30.3b
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 238732414637843/250000000000000) (*.f64 (pow.f64 x 3) -6450306886639899/50000000000000000))
0.2b
(fma.f64 x 238732414637843/250000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (fma.f64 (pow.f64 x 3) -6450306886639899/50000000000000000 (*.f64 (pow.f64 x 3) 6450306886639899/50000000000000000))))
Compiler

Compiled 1575 to 1101 computations (30.1% saved)

regimes243.0ms (10.5%)

Accuracy

Total 0.2b remaining (86.3%)

Threshold costs 0.2b (86.3%)

Counts
119 → 1
Compiler

Compiled 3450 to 2698 computations (21.8% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1911
Stop Event
saturated

end137.0ms (5.9%)

Stop Event
fuel
Compiler

Compiled 155 to 114 computations (26.5% saved)

Profiling

Loading profile data...