Details

Time bar (total: 9.0s)

analyze1.6s (18.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%0.8%99.2%0
0%0.8%99.2%1
0%0.8%99.2%2
0%0.8%99.2%3
0%0.8%99.2%4
0%0.8%99.2%5
0.2%0.4%99.4%6
0.2%0.4%99.4%7
0.2%0.4%99.4%8
0.2%0.4%99.4%9
0.3%0.2%99.5%10
0.3%0.2%99.5%11
0.3%0.2%99.5%12
0.3%0.2%99.5%13
0.3%0.1%99.6%14
Compiler

Compiled 62 to 45 computations (27.4% saved)

sample94.0ms (1%)

Algorithm
intervals
Results
48.0ms256×body128valid
14.0ms256×pre128true
2.0ms40×pre128false
Compiler

Compiled 95 to 69 computations (27.4% saved)

simplify217.0ms (2.4%)

Algorithm
egg-herbie
Rules
2213×fma-def_binary32
1110×div-sub_binary32
1069×fma-neg_binary32
619×times-frac_binary32
350×sub-neg_binary32
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01837
13831
27831
313726
420326
523226
627426
737226
843226
952326
1066626
11112126
12205126
13203426
14209226
15241726
16272226
17289726
18216926
19243926
20229926
21229926
22229926
23229926
24229926
25229926
26211426

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.6b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.7b
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
8.6b
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
Compiler

Compiled 146 to 95 computations (34.9% saved)

localize60.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
0.2b
(*.f32 (-.f32 1 u) normAngle)
0.4b
(*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.5b
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

series170.0ms (1.9%)

Counts
4 → 96
Calls

4 calls:

118.0ms
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
26.0ms
(*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
21.0ms
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
4.0ms
(*.f32 (-.f32 1 u) normAngle)

rewrite35.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary32
39×add-exp-log_binary32
32×associate-*r*_binary32
28×*-un-lft-identity_binary32
25×add-cbrt-cube_binary32
Counts
4 → 127
Calls

4 calls:

7.0ms
(*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
7.0ms
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
7.0ms
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
5.0ms
(*.f32 (-.f32 1 u) normAngle)

simplify117.0ms (1.3%)

Algorithm
egg-herbie
Rules
518×associate-*r*_binary32
451×associate-*l*_binary32
394×fma-def_binary32
309×*-commutative_binary32
269×associate-+r+_binary32
Counts
223 → 237
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04104670
111994259
244154255
350524255

prune381.0ms (4.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2316237
Fresh011
Picked101
Done000
Total2327239
Error
0.0b
Counts
239 → 7
Alt Table
StatusErrorProgram
0.8b
(+.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))) (cbrt.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle)))) (cbrt.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.7b
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.4b
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
1.0b
(+.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (/.f32 1 (sin.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.6b
(+.f32 (-.f32 n0_i (*.f32 u n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.8b
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))) n1_i))
8.6b
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
Compiler

Compiled 9284 to 4859 computations (47.7% saved)

localize83.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
0.2b
(*.f32 (-.f32 1 u) normAngle)
0.4b
(*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
2.5b
(/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))

series37.0ms (0.4%)

Counts
1 → 4
Calls

1 calls:

37.0ms
(/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
24×add-exp-log_binary32
10×div-exp_binary32
prod-exp_binary32
add-cbrt-cube_binary32
pow-exp_binary32
Counts
1 → 31
Calls

1 calls:

6.0ms
(/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))

simplify75.0ms (0.8%)

Algorithm
egg-herbie
Rules
458×fma-def_binary32
405×associate-*l/_binary32
383×associate-/r*_binary32
329×associate-*r/_binary32
320×associate-/l/_binary32
Counts
35 → 40
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086752
1197659
2914645
33659635
44723624
54980624
64979624

prune390.0ms (4.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2061207
Fresh066
Picked101
Done000
Total2077214
Error
0.0b
Counts
214 → 7
Alt Table
StatusErrorProgram
0.8b
(+.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle))) (cbrt.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle)))) (cbrt.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (sin.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.7b
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.3b
(+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
1.0b
(+.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (/.f32 1 (sin.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.6b
(+.f32 (-.f32 n0_i (*.f32 u n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.8b
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))) n1_i))
8.6b
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
Compiler

Compiled 9905 to 5466 computations (44.8% saved)

localize88.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
0.1b
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6))
0.2b
(*.f32 (-.f32 1 u) n0_i)
2.5b
(/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))

series196.0ms (2.2%)

Counts
3 → 84
Calls

3 calls:

146.0ms
(+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
44.0ms
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6))
5.0ms
(*.f32 (-.f32 1 u) n0_i)

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary32
*-un-lft-identity_binary32
associate-*l*_binary32
add-cube-cbrt_binary32
add-cbrt-cube_binary32
Counts
3 → 49
Calls

3 calls:

5.0ms
(+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
5.0ms
(*.f32 (-.f32 1 u) n0_i)
0.0ms
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6))

simplify114.0ms (1.3%)

Algorithm
egg-herbie
Rules
403×fma-neg_binary32
400×cancel-sign-sub-inv_binary32
335×distribute-rgt-in_binary32
303×distribute-lft-in_binary32
185×neg-sub0_binary32
Counts
133 → 120
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01883834
15503704
218273539
343973539
450233539

prune214.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1573160
Fresh426
Picked101
Done000
Total1625167
Error
0b
Counts
167 → 5
Alt Table
StatusErrorProgram
1.0b
(+.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (/.f32 1 (sin.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.2b
(fma.f32 (-.f32 1 u) n0_i (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
0.3b
(-.f32 (+.f32 (fma.f32 u n1_i n0_i) (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) 1/6) (-.f32 u (pow.f32 u 3))))) (*.f32 n0_i u))
0.7b
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.2b
(+.f32 n0_i (fma.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i (neg.f32 (*.f32 n0_i u))))
Compiler

Compiled 5696 to 3200 computations (43.8% saved)

localize66.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i (neg.f32 (*.f32 n0_i u)))
0.1b
(*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)
0.1b
(fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6))
2.5b
(/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))

series219.0ms (2.4%)

Counts
3 → 96
Calls

3 calls:

131.0ms
(fma.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i (neg.f32 (*.f32 n0_i u)))
45.0ms
(fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6))
42.0ms
(*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
38×add-exp-log_binary32
20×prod-exp_binary32
12×add-cbrt-cube_binary32
10×div-exp_binary32
add-sqr-sqrt_binary32
Counts
3 → 57
Calls

3 calls:

8.0ms
(*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)
0.0ms
(fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6))
0.0ms
(fma.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i (neg.f32 (*.f32 n0_i u)))

simplify124.0ms (1.4%)

Algorithm
egg-herbie
Rules
849×fma-def_binary32
812×times-frac_binary32
203×fma-neg_binary32
202×associate-*r*_binary32
191×associate-*l*_binary32
Counts
153 → 126
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02164540
15524275
220424265
349064265
449964265

prune223.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1660166
Fresh044
Picked011
Done000
Total1665171
Error
0b
Counts
171 → 5
Alt Table
StatusErrorProgram
1.0b
(+.f32 (*.f32 (*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) (/.f32 1 (sin.f32 normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.2b
(fma.f32 (-.f32 1 u) n0_i (*.f32 (fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i))
0.3b
(-.f32 (+.f32 (fma.f32 u n1_i n0_i) (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) 1/6) (-.f32 u (pow.f32 u 3))))) (*.f32 n0_i u))
0.7b
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
0.2b
(+.f32 n0_i (fma.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle)) -1/6)) n1_i (neg.f32 (*.f32 n0_i u))))
Compiler

Compiled 5732 to 2835 computations (50.5% saved)

regimes1.5s (16.3%)

Accuracy

Total 0.2b remaining (92.1%)

Threshold costs 0.2b (92.1%)

Counts
227 → 1
Compiler

Compiled 37658 to 24542 computations (34.8% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary32
+-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01934
13134
23934
34434
44634
54634

end1.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

sample2.9s (32.5%)

Algorithm
intervals
Results
1.5s8000×body128valid
470.0ms8000×pre128true
59.0ms1031×pre128false
Compiler

Compiled 253 to 174 computations (31.2% saved)

Profiling

Loading profile data...