Details

Time bar (total: 9.7s)

analyze455.0ms (4.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
4.7%21.8%73.5%11
4.7%21.8%73.5%12
7%19.5%73.5%13
8.2%17.5%74.3%14
Compiler

Compiled 22 to 17 computations (22.7% saved)

sample2.8s (29.2%)

Results
1.1s6334×body128valid
659.0ms294×body128invalid
416.0ms521×body1024valid
395.0ms761×body512valid
211.0ms638×body256valid
2.0msbody2048valid
Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
870×rules-21_binary64
754×fma-neg_binary64
588×fma-def_binary64
345×rules-40_binary64
345×rules-41_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01524
18924
228924
3126724
4454424
53824

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
8.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
8.8b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 77 to 56 computations (27.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.0b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.1b
(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
6.6b
(log.f64 (-.f64 1 y))

series470.0ms (4.8%)

Counts
4 → 120
Calls

4 calls:

239.0ms
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
173.0ms
(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
54.0ms
(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
3.0ms
(log.f64 (-.f64 1 y))

rewrite106.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
821×prod-diff_binary64
209×egg-rr
147×add-sqr-sqrt_binary64
139×log1p-expm1-u_binary64
139×expm1-log1p-u_binary64
Counts
4 → 209
Calls

4 calls:

100.0ms
(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
100.0ms
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
100.0ms
(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
100.0ms
(log.f64 (-.f64 1 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01463
132863
2418163
3583763
000
100

simplify83.0ms (0.9%)

Algorithm
egg-herbie
Rules
724×rules-13_binary64
604×rules-21_binary64
521×fma-neg_binary64
424×rules-40_binary64
424×rules-41_binary64
Counts
329 → 316
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02353633
118593633
262863633

prune327.0ms (3.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3097316
Fresh000
Picked101
Done000
Total3107317
Error
0.1b
Counts
317 → 7
Alt Table
StatusErrorProgram
9.4b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1)))) 3) t)
9.7b
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) 2))
8.8b
(-.f64 (*.f64 (-.f64 z 1) (+.f64 (log.f64 (-.f64 1 y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1)))) t)
9.0b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 1 y)))) 1))) t)
0.8b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))) t)
31.0b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) 3)) t)
23.6b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1)))) 2) t)
Compiler

Compiled 9837 to 6471 computations (34.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))) t)
0.0b
(*.f64 1/2 (pow.f64 y 2))
0.0b
(*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
0.1b
(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))))

series323.0ms (3.3%)

Counts
4 → 108
Calls

4 calls:

201.0ms
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))) t)
102.0ms
(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))))
17.0ms
(*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
2.0ms
(*.f64 1/2 (pow.f64 y 2))

rewrite103.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
364×prod-diff_binary64
186×add-sqr-sqrt_binary64
180×egg-rr
180×log1p-expm1-u_binary64
180×expm1-log1p-u_binary64
Counts
4 → 180
Calls

4 calls:

98.0ms
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))) t)
98.0ms
(*.f64 1/2 (pow.f64 y 2))
98.0ms
(*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))
98.0ms
(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01882
143176
2476676
3544676
000
100

simplify90.0ms (0.9%)

Algorithm
egg-herbie
Rules
874×rules-41_binary64
874×rules-42_binary64
874×rules-43_binary64
332×rules-7-rev_binary64
236×fma-def_binary64
Counts
288 → 223
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813178
15962854
230602854
352222854

prune292.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2203223
Fresh246
Picked011
Done000
Total2228230
Error
0.1b
Counts
230 → 8
Alt Table
StatusErrorProgram
9.0b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 1 y)))) 1))) t)
17.2b
(-.f64 (*.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (+.f64 (-.f64 z 1) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))))) t)
0.8b
(+.f64 (fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))) (neg.f64 t)) (fma.f64 -1 t t))
9.7b
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) 2))
1.6b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))))) 3) t)
0.8b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2)))))) t)
31.0b
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) 3)) t)
23.6b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1)))) 2) t)
Compiler

Compiled 7275 to 4173 computations (42.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1)))
0.1b
(fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))) (neg.f64 t))
0.1b
(/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))
0.1b
(*.f64 (-.f64 x 1) (log.f64 y))

series610.0ms (6.3%)

Counts
4 → 136
Calls

4 calls:

364.0ms
(fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))) (neg.f64 t))
98.0ms
(+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1)))
84.0ms
(/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))
64.0ms
(*.f64 (-.f64 x 1) (log.f64 y))

rewrite107.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
307×prod-diff_binary64
187×add-sqr-sqrt_binary64
176×log1p-expm1-u_binary64
176×expm1-log1p-u_binary64
173×add-log-exp_binary64
Counts
4 → 158
Calls

4 calls:

103.0ms
(+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1)))
103.0ms
(fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))) (neg.f64 t))
103.0ms
(/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))
103.0ms
(*.f64 (-.f64 x 1) (log.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01887
142579
2479379
3541579
000
100

simplify97.0ms (1%)

Algorithm
egg-herbie
Rules
632×rules-13_binary64
541×rules-21_binary64
481×fma-neg_binary64
432×rules-40_binary64
432×rules-41_binary64
Counts
294 → 252
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02335169
117395147
259385147

prune368.0ms (3.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2484252
Fresh336
Picked101
Done101
Total2537260
Error
0.0b
Counts
260 → 7
Alt Table
StatusErrorProgram
23.6b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1)))) 2) t)
17.6b
(+.f64 (fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1)) 3))) (neg.f64 t)) (fma.f64 -1 t t))
0.8b
(+.f64 (fma.f64 (-.f64 z 1) (fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))) (neg.f64 t)) (fma.f64 -1 t t))
40.4b
(+.f64 (fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))) 2)) (neg.f64 t)) (fma.f64 -1 t t))
9.7b
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) 2))
9.0b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 1 y)))) 1))) t)
7.7b
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 t)) 2) (+.f64 (cbrt.f64 (neg.f64 t)) (/.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (fma.f64 1/2 (*.f64 y y) y)))) (pow.f64 (cbrt.f64 (neg.f64 t)) 2)))) (fma.f64 -1 t t))
Compiler

Compiled 10232 to 5681 computations (44.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (*.f64 y y) y)
0.1b
(fma.f64 (-.f64 z 1) (fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))) (neg.f64 t))
0.1b
(fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y)))
0.2b
(/.f64 (log.f64 y) (-.f64 z 1))

series296.0ms (3%)

Counts
4 → 116
Calls

4 calls:

189.0ms
(fma.f64 (-.f64 z 1) (fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))) (neg.f64 t))
75.0ms
(fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y)))
29.0ms
(/.f64 (log.f64 y) (-.f64 z 1))
3.0ms
(fma.f64 1/2 (*.f64 y y) y)

rewrite92.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
439×prod-diff_binary64
171×add-sqr-sqrt_binary64
159×log1p-expm1-u_binary64
159×expm1-log1p-u_binary64
158×add-log-exp_binary64
Counts
4 → 129
Calls

4 calls:

88.0ms
(fma.f64 1/2 (*.f64 y y) y)
88.0ms
(fma.f64 (-.f64 z 1) (fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))) (neg.f64 t))
88.0ms
(fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y)))
88.0ms
(/.f64 (log.f64 y) (-.f64 z 1))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
139176
2469776
3555276
000
100

simplify82.0ms (0.8%)

Algorithm
egg-herbie
Rules
585×rules-13_binary64
501×rules-21_binary64
411×fma-neg_binary64
392×rules-40_binary64
392×rules-41_binary64
Counts
245 → 217
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02134409
115694387
253704387

prune278.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2161217
Fresh156
Picked011
Done000
Total2177224
Error
0.0b
Counts
224 → 7
Alt Table
StatusErrorProgram
0.8b
(+.f64 (fma.f64 (-.f64 z 1) (fma.f64 (-.f64 x 1) (/.f64 (log.f64 y) (-.f64 z 1)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))) (neg.f64 t)) (fma.f64 -1 t t))
40.4b
(+.f64 (fma.f64 (-.f64 z 1) (+.f64 (neg.f64 (fma.f64 1/2 (*.f64 y y) y)) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x 1) (log.f64 y)) (-.f64 z 1))) 2)) (neg.f64 t)) (fma.f64 -1 t t))
9.7b
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1))) t)) 2))
10.2b
(+.f64 (fma.f64 (-.f64 z 1) (fma.f64 (-.f64 x 1) (cbrt.f64 (pow.f64 (/.f64 (log.f64 y) (-.f64 z 1)) 3)) (neg.f64 (fma.f64 1/2 (*.f64 y y) y))) (neg.f64 t)) (fma.f64 -1 t t))
9.0b
(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 1 y)))) 1))) t)
7.7b
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (neg.f64 t)) 2) (+.f64 (cbrt.f64 (neg.f64 t)) (/.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (neg.f64 (fma.f64 1/2 (*.f64 y y) y)))) (pow.f64 (cbrt.f64 (neg.f64 t)) 2)))) (fma.f64 -1 t t))
23.6b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) (-.f64 z 1)))) 2) t)
Compiler

Compiled 8164 to 4508 computations (44.8% saved)

regimes2.4s (24.7%)

Accuracy

Total 0.3b remaining (74.5%)

Threshold costs 0.3b (74.5%)

Counts
185 → 1
Compiler

Compiled 46617 to 33473 computations (28.2% saved)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351
12351

end171.0ms (1.8%)

Compiler

Compiled 309 to 217 computations (29.8% saved)

Profiling

Loading profile data...