Details

Time bar (total: 28.8s)

analyze5.0s (17.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 24 to 16 computations (33.3% saved)

sample196.0ms (0.7%)

Algorithm
intervals
Results
30.0ms256×body128valid
27.0ms212×body128invalid
Compiler

Compiled 55 to 39 computations (29.1% saved)

simplify22.0ms (0.1%)

Algorithm
egg-herbie
Rules
58×fma-def_binary64
24×associate-+l+_binary64
22×associate-+r+_binary64
17×+-commutative_binary64
*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01620
12816
26116
310516
412116
512316
612316

prune9.0ms (0%)

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
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
Compiler

Compiled 75 to 42 computations (44% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
0.0b
(fma.f64 x y (*.f64 z t))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))

rewrite5.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
3 → 30
Calls

3 calls:

1.0ms
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
1.0ms
(fma.f64 x y (*.f64 z t))
1.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))

series433.0ms (1.5%)

Counts
3 → 216
Calls

3 calls:

232.0ms
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
135.0ms
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
65.0ms
(fma.f64 x y (*.f64 z t))

simplify283.0ms (1%)

Algorithm
egg-herbie
Rules
864×unswap-sqr_binary64
587×fma-def_binary64
579×associate-+r+_binary64
555×associate-+l+_binary64
395×associate-*l*_binary64
Counts
246 → 444
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0612908
1952833
22242833
39252833
433182833
534632833
649722833

prune172.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4431444
Fresh000
Picked011
Done000
Total4432445
Error
0.0b
Counts
445 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
32.5b
(exp.f64 (log.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))
Compiler

Compiled 1319 to 262 computations (80.1% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 a b (fma.f64 x y (*.f64 z t)))
0.0b
(fma.f64 x y (*.f64 z t))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
3.1b
(exp.f64 (log.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))

rewrite5.0ms (0%)

Algorithm
rewrite-expression-head
Rules
exp-prod_binary64
exp-sum_binary64
log-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
1 → 17
Calls

1 calls:

3.0ms
(exp.f64 (log.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))

series6.2s (21.4%)

Counts
1 → 96
Calls

1 calls:

6.2s
(exp.f64 (log.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))

simplify474.0ms (1.6%)

Algorithm
egg-herbie
Rules
704×fma-def_binary64
512×*-commutative_binary64
336×associate-*r*_binary64
235×+-commutative_binary64
171×associate-+r+_binary64
Counts
113 → 223
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0112412357
141569669
247869643
350079643

prune248.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New6652667
Fresh000
Picked101
Done011
Total6663669
Error
0.0b
Counts
669 → 3
Alt Table
StatusErrorProgram
32.5b
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
26.5b
(fma.f64 (/.f64 (*.f64 a b) a) (/.f64 (*.f64 t z) b) (fma.f64 (/.f64 c a) (/.f64 (*.f64 (*.f64 a b) i) b) (fma.f64 a b (/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b)))))
Compiler

Compiled 15075 to 6954 computations (53.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
7.1b
(/.f64 (*.f64 a b) a)
8.1b
(/.f64 (*.f64 (*.f64 a b) i) b)
11.4b
(fma.f64 (/.f64 c a) (/.f64 (*.f64 (*.f64 a b) i) b) (fma.f64 a b (/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b))))
14.5b
(/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b))

rewrite22.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
59×add-cbrt-cube_binary64
59×add-exp-log_binary64
25×cbrt-unprod_binary64
25×prod-exp_binary64
15×cbrt-undiv_binary64
Counts
4 → 93
Calls

4 calls:

7.0ms
(/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b))
5.0ms
(/.f64 (*.f64 a b) a)
4.0ms
(/.f64 (*.f64 (*.f64 a b) i) b)
0.0ms
(fma.f64 (/.f64 c a) (/.f64 (*.f64 (*.f64 a b) i) b) (fma.f64 a b (/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b))))

series166.0ms (0.6%)

Counts
4 → 180
Calls

4 calls:

116.0ms
(fma.f64 (/.f64 c a) (/.f64 (*.f64 (*.f64 a b) i) b) (fma.f64 a b (/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b))))
25.0ms
(/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b))
21.0ms
(/.f64 (*.f64 (*.f64 a b) i) b)
4.0ms
(/.f64 (*.f64 a b) a)

simplify137.0ms (0.5%)

Algorithm
egg-herbie
Rules
540×times-frac_binary64
349×fma-def_binary64
327×associate-/l*_binary64
227×associate-*l*_binary64
212×distribute-rgt-in_binary64
Counts
273 → 432
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01753213
14712234
224451981
331651973
449621973
549431973

prune96.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4320432
Fresh011
Picked011
Done011
Total4323435
Error
0.0b
Counts
435 → 3
Alt Table
StatusErrorProgram
32.5b
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
26.5b
(fma.f64 (/.f64 (*.f64 a b) a) (/.f64 (*.f64 t z) b) (fma.f64 (/.f64 c a) (/.f64 (*.f64 (*.f64 a b) i) b) (fma.f64 a b (/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b)))))
Compiler

Compiled 6244 to 820 computations (86.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))
0.3b
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))
2.6b
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))))
2.6b
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))))

rewrite26.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
58×exp-prod_binary64
48×add-sqr-sqrt_binary64
46×exp-sum_binary64
46×log-prod_binary64
33×pow1_binary64
Counts
3 → 118
Calls

3 calls:

11.0ms
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))
2.0ms
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))))
1.0ms
(sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))

series11.7s (40.8%)

Counts
3 → 96
Calls

3 calls:

9.1s
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))
2.2s
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))))
427.0ms
(sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t)))))

simplify284.0ms (1%)

Algorithm
egg-herbie
Rules
506×associate-*r*_binary64
415×associate-*l*_binary64
249×fma-def_binary64
200×fma-neg_binary64
169×associate-/l*_binary64
Counts
214 → 416
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044711310
112639809
243478711
349448711
448868711

prune152.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New5200520
Fresh000
Picked011
Done022
Total5203523
Error
0.0b
Counts
523 → 3
Alt Table
StatusErrorProgram
32.5b
(*.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))))))
0.0b
(fma.f64 c i (fma.f64 a b (fma.f64 x y (*.f64 z t))))
26.5b
(fma.f64 (/.f64 (*.f64 a b) a) (/.f64 (*.f64 t z) b) (fma.f64 (/.f64 c a) (/.f64 (*.f64 (*.f64 a b) i) b) (fma.f64 a b (/.f64 (*.f64 (*.f64 a b) (*.f64 y x)) (*.f64 a b)))))
Compiler

Compiled 17509 to 2790 computations (84.1% saved)

regimes1.2s (4.3%)

Accuracy

Total 0.0b remaining (17.4%)

Threshold costs 0.0b (17.4%)

Compiler

Compiled 27542 to 17428 computations (36.7% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11416
21416

end82.0ms (0.3%)

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 180 to 108 computations (40% saved)

sample1.7s (5.9%)

Algorithm
intervals
Results
470.0ms8000×body128valid
419.0ms5685×body128invalid
Compiler

Compiled 155 to 85 computations (45.2% saved)

Profiling

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