Details

Time bar (total: 2.5s)

analyze780.0ms (30.9%)

Algorithm
1×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
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (40.4%)

Symmetry

(sort x y)

(sort z t)

Results
826.0ms8256×body128valid
134.0ms1314×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify14.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
171×fma-def_binary64
87×fma-neg_binary64
36×cancel-sign-sub-inv_binary64
23×distribute-rgt-neg-in_binary64
20×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11610
22710
34410
46610
510010
615210
721310
825710
927910
1029910
1130510
1227410

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 x y) (*.f64 z t))

series12.0ms (0.5%)

Counts
1 → 48
Calls

1 calls:

12.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

rewrite3.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×add-log-exp_binary64
1×cancel-sign-sub-inv_binary64
1×flip--_binary64
1×sub-neg_binary64
1×*-un-lft-identity_binary64
Counts
1 → 16
Calls

1 calls:

3.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify114.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
480×times-frac_binary64
463×fma-def_binary64
444×unsub-neg_binary64
265×sub-neg_binary64
232×distribute-rgt-neg-in_binary64
Counts
64 → 32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043682
1113658
2347652
3974652
42183652
53451652
64489652
74961652
84995652
94859652

prune22.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233
Error
0.0b
Counts
33 → 2
Alt Table
StatusErrorProgram
37.7b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3))
▶0.0b
(fma.f64 x y (neg.f64 (*.f64 z t)))
Compiler

Compiled 463 to 127 computations (72.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x y (neg.f64 (*.f64 z t)))

series9.0ms (0.4%)

Counts
1 → 48
Calls

1 calls:

9.0ms
(fma.f64 x y (neg.f64 (*.f64 z t)))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 x y (neg.f64 (*.f64 z t)))

simplify80.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
967×unsub-neg_binary64
792×times-frac_binary64
421×fma-neg_binary64
384×neg-sub0_binary64
364×neg-mul-1_binary64
Counts
58 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023568
137547
265547
3215547
4895547
51760547
63723547
74512547
85729547

prune8.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done000
Total22224
Error
0.0b
Counts
24 → 2
Alt Table
StatusErrorProgram
▶37.7b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3))
✓0.0b
(fma.f64 x y (neg.f64 (*.f64 z t)))
Compiler

Compiled 288 to 79 computations (72.6% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 y x) (*.f64 t z))
✓0.3b
(pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3)
✓35.9b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3))

series73.0ms (2.9%)

Counts
3 → 108
Calls

3 calls:

42.0ms
(pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3)
20.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3))
11.0ms
(-.f64 (*.f64 y x) (*.f64 t z))

rewrite12.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64
9×*-un-lft-identity_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
6×cube-prod_binary64
Counts
3 → 68
Calls

3 calls:

3.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3))
3.0ms
(pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3)
2.0ms
(-.f64 (*.f64 y x) (*.f64 t z))

simplify133.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
652×fma-neg_binary64
504×fma-def_binary64
333×*-commutative_binary64
277×unswap-sqr_binary64
271×cancel-sign-sub-inv_binary64
Counts
176 → 96
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01273539
13323332
210803172
332633172
448603172
549503172

prune37.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298
Error
0.0b
Counts
98 → 2
Alt Table
StatusErrorProgram
✓37.7b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3))
✓0.0b
(fma.f64 x y (neg.f64 (*.f64 z t)))
Compiler

Compiled 1832 to 681 computations (62.8% saved)

regimes120.0ms (4.8%)

Accuracy

Total 0.0b remaining (12.4%)

Threshold costs 0.0b (12.4%)

Counts
14 → 1
Compiler

Compiled 1547 to 978 computations (36.8% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
3×+-commutative_binary64
3×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11710
22510
33010
43210
53210

end61.0ms (2.4%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 91 to 59 computations (35.2% saved)

Profiling

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