Details

Time bar (total: 2.8s)

analyze247.0ms (8.7%)

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
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms14×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify170.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03010
13010

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (+.f64 z x)))
0.0b
(*.f64 y (+.f64 z x))

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_3175 add-sqr-sqrt_binary64_3197
add-cbrt-cube_binary64_3211 add-cube-cbrt_binary64_3210 add-exp-log_binary64_3213 pow1_binary64_3236 add-log-exp_binary64_3214 associate-*r*_binary64_3115
associate-*l*_binary64_3116
associate-*r/_binary64_3117 flip-+_binary64_3149 associate-+r+_binary64_3107 flip3-+_binary64_3178 distribute-lft-in_binary64_3124 distribute-rgt-in_binary64_3125
prod-exp_binary64_3224 *-commutative_binary64_3106 distribute-lft-out_binary64_3126 pow-prod-down_binary64_3246 cbrt-unprod_binary64_3208 +-commutative_binary64_3105 unswap-sqr_binary64_3143 sum-log_binary64_3266
Counts
2 → 36
Calls

2 calls:

7.0ms
(*.f64 y (+.f64 z x))
4.0ms
(+.f64 x (*.f64 y (+.f64 z x)))

series105.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(+.f64 x (*.f64 y (+.f64 z x)))
51.0ms
(*.f64 y (+.f64 z x))

simplify65.0ms (2.3%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05075467

prune54.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New38442
Fresh000
Picked101
Done000
Total39443

Merged error: 0b

Counts
43 → 4
Compiler

Compiled 959 to 431 computations (55.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
0.0b
(+.f64 (*.f64 y z) (*.f64 y x))

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_3214
*-un-lft-identity_binary64_3175 sum-log_binary64_3266
distribute-lft-out_binary64_3126 flip-+_binary64_3149 add-cbrt-cube_binary64_3211 flip3-+_binary64_3178 add-cube-cbrt_binary64_3210 +-commutative_binary64_3105 add-sqr-sqrt_binary64_3197 add-exp-log_binary64_3213 pow1_binary64_3236
associate-+r+_binary64_3107
Counts
2 → 26
Calls

2 calls:

6.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))
4.0ms
(+.f64 (*.f64 y z) (*.f64 y x))

series105.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

57.0ms
(+.f64 (*.f64 y z) (*.f64 y x))
48.0ms
(+.f64 x (+.f64 (*.f64 y z) (*.f64 y x)))

simplify73.0ms (2.6%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05106410

prune20.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done000
Total32436

Merged error: 0b

Counts
36 → 4
Compiler

Compiled 442 to 129 computations (70.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_3206
23×add-sqr-sqrt_binary64_3197
15×*-un-lft-identity_binary64_3175 add-cube-cbrt_binary64_3210
11×pow1_binary64_3236
pow1/3_binary64_3257
swap-sqr_binary64_3142 associate-*l*_binary64_3116 add-exp-log_binary64_3213 associate-*r*_binary64_3115
add-cbrt-cube_binary64_3211 unswap-sqr_binary64_3143 add-log-exp_binary64_3214
pow-prod-down_binary64_3246 pow-sqr_binary64_3148 pow-prod-up_binary64_3245
pow-plus_binary64_3238 prod-exp_binary64_3224 *-commutative_binary64_3106 cbrt-unprod_binary64_3208 pow2_binary64_3256
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series644.0ms (22.6%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
173.0ms
(cbrt.f64 y)
150.0ms
(cbrt.f64 y)
145.0ms
(cbrt.f64 y)

simplify54.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05245563

prune66.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0b

Counts
89 → 4
Compiler

Compiled 1526 to 470 computations (69.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x)))
2.3b
(-.f64 (*.f64 z z) (*.f64 x x))
11.9b
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
18.7b
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))

rewrite41.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64_3175 add-sqr-sqrt_binary64_3197
11×add-cbrt-cube_binary64_3211 add-exp-log_binary64_3213
add-cube-cbrt_binary64_3210 add-log-exp_binary64_3214
pow1_binary64_3236
associate-/r*_binary64_3119 times-frac_binary64_3181
associate-*r/_binary64_3117 flip--_binary64_3150 flip3--_binary64_3179 difference-of-squares_binary64_3144 associate-*r*_binary64_3115
sub-neg_binary64_3168 associate-*l*_binary64_3116 cancel-sign-sub-inv_binary64_3141
prod-exp_binary64_3224 cbrt-unprod_binary64_3208 distribute-lft-in_binary64_3124 cbrt-undiv_binary64_3209 distribute-lft-out--_binary64_3127 associate-/l/_binary64_3122 distribute-rgt-in_binary64_3125 associate-/r/_binary64_3121 div-exp_binary64_3226
diff-log_binary64_3267 *-commutative_binary64_3106 distribute-lft-out_binary64_3126 pow-prod-down_binary64_3246 clear-num_binary64_3174 flip-+_binary64_3149 associate-/l*_binary64_3120 div-inv_binary64_3172 frac-2neg_binary64_3186 flip3-+_binary64_3178 +-commutative_binary64_3105 unswap-sqr_binary64_3143 sum-log_binary64_3266
Counts
4 → 79
Calls

4 calls:

11.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))
10.0ms
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
9.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x)))
4.0ms
(-.f64 (*.f64 z z) (*.f64 x x))

series466.0ms (16.3%)

Counts
4 → 12
Calls

4 calls:

196.0ms
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))
117.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x)))
107.0ms
(*.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))
44.0ms
(-.f64 (*.f64 z z) (*.f64 x x))

simplify62.0ms (2.2%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049561409
149561409

prune67.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh011
Picked011
Done022
Total91495

Merged error: 0b

Counts
95 → 4
Compiler

Compiled 1738 to 494 computations (71.6% saved)

regimes34.0ms (1.2%)

Compiler

Compiled 189 to 144 computations (23.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample487.0ms (17.1%)

Algorithm
intervals
Results
195.0ms8000×body128valid
14.0ms615×body128invalid
Compiler

Compiled 78 to 59 computations (24.4% saved)

Profiling

Loading profile data...