Details

Time bar (total: 5.0s)

analyze1.4s (27.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
7.8%92%0.2%8
7.8%92%0.2%9
10.9%88.9%0.2%10
34.7%65.1%0.2%11
43.1%56.7%0.2%12
44.2%55.7%0.2%13
49.5%50.3%0.2%14
Compiler

Compiled 20 to 13 computations (35% saved)

sample71.0ms (1.4%)

Algorithm
intervals
Results
57.0ms249×body128valid
1.0ms21×body128invalid
0.0msbody256valid
0.0msbody512valid
0.0msbody1024valid
Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify246.0ms (4.9%)

Algorithm
egg-herbie
Rules
509×fma-neg_binary64
396×distribute-rgt-in_binary64
366×distribute-lft-in_binary64
289×fma-def_binary64
260×associate-*l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01323
15521
215321
336221
4131521
5463921
6506721

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
4.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.7b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 54 to 33 computations (38.9% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(tanh.f64 (/.f64 x y))
0.0b
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
4.5b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

rewrite141.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
4.7b
Rules
26×add-cube-cbrt_binary64
17×tanh-def-c_binary64
14×add-sqr-sqrt_binary64
12×pow1_binary64
10×add-log-exp_binary64
Counts
3 → 117
Calls

3 calls:

16.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
10.0ms
(tanh.f64 (/.f64 x y))
9.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 2997 to 626 computations (79.1% saved)

series262.0ms (5.3%)

Error
0.0b
Counts
3 → 40
Calls

3 calls:

149.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
69.0ms
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
28.0ms
(tanh.f64 (/.f64 x y))
Compiler

Compiled 3665 to 2341 computations (36.1% saved)

simplify158.0ms (3.2%)

Algorithm
egg-herbie
Rules
531×distribute-rgt-in_binary64
496×fma-def_binary64
482×distribute-lft-in_binary64
196×cancel-sign-sub-inv_binary64
167×sub-neg_binary64
Counts
157 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02004294
15553694
217633404
349733404

prune34.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh000
Picked011
Done000
Total62365
Error
0b
Counts
65 → 3
Alt Table
StatusErrorProgram
33.8b
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
4.7b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
25.6b
(+.f64 x (*.f64 z (-.f64 t x)))
Compiler

Compiled 1431 to 574 computations (59.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 z (-.f64 t x))
0.0b
(+.f64 x (*.f64 z (-.f64 t x)))

rewrite64.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×add-cube-cbrt_binary64
15×pow1_binary64
12×add-sqr-sqrt_binary64
10×prod-diff_binary64
distribute-rgt-in_binary64
Counts
2 → 92
Calls

2 calls:

16.0ms
(*.f64 z (-.f64 t x))
16.0ms
(+.f64 x (*.f64 z (-.f64 t x)))
Compiler

Compiled 1593 to 314 computations (80.3% saved)

series49.0ms (1%)

Error
0b
Counts
2 → 33
Calls

2 calls:

22.0ms
(+.f64 x (*.f64 z (-.f64 t x)))
19.0ms
(*.f64 z (-.f64 t x))
Compiler

Compiled 665 to 409 computations (38.5% saved)

simplify94.0ms (1.9%)

Algorithm
egg-herbie
Rules
817×fma-def_binary64
764×fma-neg_binary64
459×distribute-rgt-in_binary64
399×times-frac_binary64
333×cancel-sign-sub-inv_binary64
Counts
125 → 74
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01411309
13811176
213741154
344611153
448031153

prune20.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done011
Total74377
Error
0b
Counts
77 → 3
Alt Table
StatusErrorProgram
33.8b
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
4.7b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
25.6b
(+.f64 x (*.f64 z (-.f64 t x)))
Compiler

Compiled 707 to 235 computations (66.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))
0.2b
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
4.5b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
4.5b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

rewrite134.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
27×add-sqr-sqrt_binary64
23×add-cube-cbrt_binary64
19×pow1/2_binary64
14×pow1_binary64
14×add-cbrt-cube_binary64
Counts
4 → 152
Calls

4 calls:

51.0ms
(sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))
15.0ms
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
10.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
9.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Compiler

Compiled 4713 to 353 computations (92.5% saved)

series643.0ms (12.9%)

Error
0b
Counts
4 → 72
Calls

4 calls:

180.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
162.0ms
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
146.0ms
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
137.0ms
(sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x))
Compiler

Compiled 9775 to 5755 computations (41.1% saved)

simplify275.0ms (5.5%)

Algorithm
egg-herbie
Rules
561×associate-*l*_binary64
508×fma-neg_binary64
430×associate-*r*_binary64
240×sub-neg_binary64
228×distribute-rgt-in_binary64
Counts
224 → 109
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01387476
13377242
210146475
337056448
448026448
550736448

prune29.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done022
Total1093112
Error
0b
Counts
112 → 3
Alt Table
StatusErrorProgram
33.8b
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)) (sqrt.f64 (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)))
4.7b
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
25.6b
(+.f64 x (*.f64 z (-.f64 t x)))
Compiler

Compiled 2403 to 592 computations (75.4% saved)

regimes323.0ms (6.5%)

Accuracy

Total 0.9b remaining (80%)

Threshold costs 0.9b (80%)

Compiler

Compiled 3268 to 1906 computations (41.7% saved)

bsearch1.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
12×sub-neg_binary64
11×+-commutative_binary64
10×*-commutative_binary64
10×cancel-sign-sub-inv_binary64
distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02694
14494
26392
37992
49392
59892
610392
710892
811092
910692

end1.0ms (0%)

Compiler

Compiled 65 to 22 computations (66.2% saved)

sample1.0s (20.2%)

Algorithm
intervals
Results
525.0ms7777×body128valid
37.0ms557×body128invalid
21.0ms80×body1024valid
20.0ms89×body512valid
6.0ms53×body256valid
0.0msbody2048valid
Compiler

Compiled 153 to 70 computations (54.2% saved)

Profiling

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