Details

Time bar (total: 3.8s)

analyze505.0ms (13.2%)

Algorithm
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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample45.0ms (1.2%)

Algorithm
intervals
Results
13.0ms42×body1024valid
11.0ms172×body128valid
6.0ms29×body512valid
2.0ms13×body256valid
1.0ms21×body128invalid
0.0msbody512invalid
0.0msbody1024invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify11.0ms (0.3%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-*r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
3.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
3.3b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series43.0ms (1.1%)

Counts
3 → 64
Calls

3 calls:

28.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
11.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
Counts
3 → 89
Calls

3 calls:

6.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)

simplify114.0ms (3%)

Algorithm
egg-herbie
Rules
611×fma-def_binary64
563×associate-/l/_binary64
381×associate-/r*_binary64
381×associate-/r/_binary64
361×fma-neg_binary64
Counts
153 → 146
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune91.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1397146
Fresh000
Picked101
Done000
Total1407147
Error
0.0b
Counts
147 → 7
Alt Table
StatusErrorProgram
4.2b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
4.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
4.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
8.6b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
28.9b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 2287 to 760 computations (66.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
0.3b
(*.f64 (sin.f64 y) (/.f64 1 y))
3.3b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)

series42.0ms (1.1%)

Counts
3 → 72
Calls

3 calls:

26.0ms
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
12.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
31×add-cbrt-cube_binary64
22×prod-exp_binary64
21×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
Counts
3 → 95
Calls

3 calls:

7.0ms
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
6.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))
6.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))

simplify100.0ms (2.6%)

Algorithm
egg-herbie
Rules
526×associate-/r*_binary64
479×fma-def_binary64
472×associate-*l/_binary64
439×associate-*r/_binary64
327×associate-/l/_binary64
Counts
167 → 164
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702130
14111865
213661847
342601843
449551843
549721843

prune98.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1640164
Fresh066
Picked011
Done000
Total1647171
Error
0.0b
Counts
171 → 7
Alt Table
StatusErrorProgram
4.2b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
4.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
4.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
8.6b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
28.9b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 2691 to 1271 computations (52.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
3.3b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)

series136.0ms (3.6%)

Counts
4 → 84
Calls

4 calls:

40.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
36.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
35.0ms
(cbrt.f64 x)
24.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))

rewrite33.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
56×add-exp-log_binary64
34×add-cbrt-cube_binary64
27×cbrt-unprod_binary64
27×prod-exp_binary64
23×add-sqr-sqrt_binary64
Counts
4 → 118
Calls

4 calls:

10.0ms
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
10.0ms
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
4.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)

simplify93.0ms (2.4%)

Algorithm
egg-herbie
Rules
664×associate-/r/_binary64
569×fma-neg_binary64
503×fma-def_binary64
286×unswap-sqr_binary64
223×log-prod_binary64
Counts
202 → 178
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862584
14322142
218232078
339992075
449482075

prune99.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2140214
Fresh055
Picked011
Done011
Total2147221
Error
0.0b
Counts
221 → 7
Alt Table
StatusErrorProgram
4.2b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
4.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
4.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
8.6b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
28.9b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
8.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 4386 to 1065 computations (75.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b
(/.f64 (sin.f64 y) y)
4.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))

series40.0ms (1.1%)

Counts
2 → 60
Calls

2 calls:

27.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
13.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite38.0ms (1%)

Algorithm
rewrite-expression-head
Rules
165×times-frac_binary64
116×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64
43×associate-*r*_binary64
Counts
2 → 166
Calls

2 calls:

17.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
5.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

simplify171.0ms (4.5%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
466×fma-neg_binary64
365×*-commutative_binary64
259×associate-/l*_binary64
190×associate-/l/_binary64
Counts
226 → 272
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02844028
16713778
223133770
328983766
441303766
549673766
649683766

prune173.0ms (4.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3101311
Fresh044
Picked011
Done022
Total3108318
Error
0b
Counts
318 → 8
Alt Table
StatusErrorProgram
4.2b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
4.8b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
4.9b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
8.6b
(/.f64 1 (/.f64 z (/.f64 (*.f64 (sin.f64 y) x) y)))
28.9b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
34.8b
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) z))
8.4b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
Compiler

Compiled 6090 to 1956 computations (67.9% saved)

regimes420.0ms (11%)

Accuracy

Total 0.2b remaining (89.8%)

Threshold costs 0.2b (89.8%)

Counts
57 → 3
Compiler

Compiled 5339 to 3301 computations (38.2% saved)

bsearch45.0ms (1.2%)

Steps
ItersRangePoint
9
5.770893099131224e-25
4.918661463794842e-20
1.914017100393267e-23
4
-2.4162719710420716e+79
-1.691971126848984e+78
-7.285168645162165e+78
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
12138
22138

end1.0ms (0%)

Compiler

Compiled 28 to 16 computations (42.9% saved)

sample1.4s (37.7%)

Algorithm
intervals
Results
449.0ms1364×body1024valid
346.0ms5411×body128valid
155.0ms826×body512valid
50.0ms397×body256valid
36.0ms502×body128invalid
10.0ms55×body512invalid
6.0ms49×body256invalid
5.0ms16×body1024invalid
1.0msbody2048valid
Compiler

Compiled 152 to 96 computations (36.8% saved)

Profiling

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