Details

Time bar (total: 5.8s)

analyze71.0ms (1.2%)

Algorithm
1×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
25%74.9%0.1%4
37.5%62.4%0.1%5
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample23.0ms (0.4%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify279.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
078210
178210

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (+.f64 x y))

rewrite84.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
34×*-un-lft-identity_binary64_18151
22×add-sqr-sqrt_binary64_18173
20×times-frac_binary64_18157
12×add-cube-cbrt_binary64_18186
6×distribute-lft-out_binary64_18102
5×difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103 associate-/l*_binary64_18096
4×associate-/r*_binary64_18095
3×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
2×associate-/l/_binary64_18098 associate-/r/_binary64_18097
1×pow1_binary64_18212 div-exp_binary64_18202 add-log-exp_binary64_18190 cbrt-undiv_binary64_18185 frac-2neg_binary64_18162 div-sub_binary64_18156 clear-num_binary64_18150 div-inv_binary64_18148 flip3--_binary64_18155 flip--_binary64_18126 flip3-+_binary64_18154 flip-+_binary64_18125
Counts
1 → 46
Calls

1 calls:

14.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 725 to 165 computations (77.2% saved)

series122.0ms (2.1%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

99.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 411 to 349 computations (15.1% saved)

simplify113.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
061991014

prune72.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh000
Picked011
Done000
Total61465
Error
0b
Counts
65 → 4
Compiler

Compiled 847 to 241 computations (71.5% saved)

localize22.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

rewrite368.0ms (6.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
150×*-un-lft-identity_binary64_18151
100×times-frac_binary64_18157
98×add-sqr-sqrt_binary64_18173
58×cbrt-prod_binary64_18182
56×add-cube-cbrt_binary64_18186
52×unpow-prod-down_binary64_18230 cube-prod_binary64_18179
26×distribute-lft-out_binary64_18102
21×difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103
10×associate-/r/_binary64_18097
8×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
5×div-inv_binary64_18148 flip3-+_binary64_18154 flip-+_binary64_18125 associate-/l*_binary64_18096
4×pow1_binary64_18212 associate-/r*_binary64_18095
3×pow-unpow_binary64_18228 add-log-exp_binary64_18190
2×div-exp_binary64_18202 pow-exp_binary64_18219 unpow3_binary64_18217 cube-mult_binary64_18181 cube-div_binary64_18180 rem-cube-cbrt_binary64_18174 cbrt-undiv_binary64_18185 sqr-pow_binary64_18123 associate-/l/_binary64_18098
1×pow-pow_binary64_18223 pow-to-exp_binary64_18220 pow1/3_binary64_18233 cbrt-div_binary64_18183 rem-cbrt-cube_binary64_18175 frac-2neg_binary64_18162 div-sub_binary64_18156 clear-num_binary64_18150 flip3--_binary64_18155 flip--_binary64_18126
Counts
3 → 186
Calls

3 calls:

19.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
19.0ms
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
13.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 3948 to 1358 computations (65.6% saved)

series502.0ms (8.7%)

Error
0b
Counts
3 → 54
Calls

3 calls:

146.0ms
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
142.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
139.0ms
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 1521 to 1306 computations (14.1% saved)

simplify197.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
052284513

prune294.0ms (5.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2400240
Fresh022
Picked011
Done011
Total2404244
Error
0b
Counts
244 → 4
Compiler

Compiled 3731 to 1263 computations (66.1% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite118.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
41×*-un-lft-identity_binary64_18151
28×times-frac_binary64_18157
23×add-sqr-sqrt_binary64_18173
18×cancel-sign-sub-inv_binary64_18117
11×add-cube-cbrt_binary64_18186
7×distribute-lft-out_binary64_18102 distribute-lft-out--_binary64_18103
6×associate-/r/_binary64_18097
4×difference-of-squares_binary64_18120
3×add-log-exp_binary64_18190 div-inv_binary64_18148 flip3-+_binary64_18154 flip-+_binary64_18125 distribute-rgt-out--_binary64_18105
1×diff-log_binary64_18243 pow1_binary64_18212 add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 frac-sub_binary64_18160 sub-div_binary64_18158 flip3--_binary64_18155 sub-neg_binary64_18144 flip--_binary64_18126
Counts
1 → 45
Calls

1 calls:

48.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 968 to 220 computations (77.3% saved)

series177.0ms (3.1%)

Error
0b
Counts
1 → 18
Calls

1 calls:

155.0ms
(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
Compiler

Compiled 411 to 349 computations (15.1% saved)

simplify144.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
04872983
14872983

prune71.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done022
Total63467
Error
0b
Counts
67 → 4
Compiler

Compiled 895 to 213 computations (76.2% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 y x) -1)
0.1b
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
0.1b
(pow.f64 (/.f64 y x) 3)
8.5b
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))

rewrite467.0ms (8.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
53×add-sqr-sqrt_binary64_18173
48×times-frac_binary64_18157
46×*-un-lft-identity_binary64_18151
42×add-cube-cbrt_binary64_18186
32×cancel-sign-sub-inv_binary64_18117
26×unpow-prod-down_binary64_18230 cube-prod_binary64_18179
13×associate-*l*_binary64_18092
12×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
8×add-log-exp_binary64_18190
7×pow1_binary64_18212
6×cube-div_binary64_18180 associate-*r*_binary64_18091
5×flip3-+_binary64_18154 frac-sub_binary64_18160 flip-+_binary64_18125 div-inv_binary64_18148
4×frac-times_binary64_18161 associate-*r/_binary64_18093 difference-of-sqr--1_binary64_18122
3×cube-mult_binary64_18181 pow-unpow_binary64_18228
2×associate-*l/_binary64_18094 unpow3_binary64_18217 sqr-pow_binary64_18123 distribute-rgt-in_binary64_18101 associate--l+_binary64_18088 distribute-lft-in_binary64_18100 div-exp_binary64_18202 pow-exp_binary64_18219 rem-cube-cbrt_binary64_18174 cbrt-undiv_binary64_18185 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 distribute-lft-out_binary64_18102
1×diff-log_binary64_18243 flip3--_binary64_18155 sub-neg_binary64_18144 flip--_binary64_18126 distribute-lft-out--_binary64_18103 pow-pow_binary64_18223 pow-to-exp_binary64_18220 pow-prod-down_binary64_18222 *-commutative_binary64_18082 sum-log_binary64_18242 +-commutative_binary64_18081
Counts
4 → 152
Calls

4 calls:

40.0ms
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))
27.0ms
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
14.0ms
(+.f64 (/.f64 y x) -1)
9.0ms
(pow.f64 (/.f64 y x) 3)
Compiler

Compiled 4379 to 2262 computations (48.3% saved)

series865.0ms (15%)

Error
0b
Counts
4 → 42
Calls

4 calls:

298.0ms
(-.f64 (*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1)) (pow.f64 (/.f64 y x) 3))
237.0ms
(*.f64 (/.f64 y x) (+.f64 (/.f64 y x) -1))
164.0ms
(pow.f64 (/.f64 y x) 3)
103.0ms
(+.f64 (/.f64 y x) -1)
Compiler

Compiled 1968 to 1420 computations (27.8% saved)

simplify168.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
049592765
149592765

prune339.0ms (5.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1940194
Fresh000
Picked011
Done033
Total1944198
Error
0b
Counts
198 → 4
Compiler

Compiled 4464 to 2349 computations (47.4% saved)

regimes132.0ms (2.3%)

Accuracy

Total 0.0b remaining (93.2%)

Threshold costs 0.0b (93.2%)

Compiler

Compiled 666 to 402 computations (39.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01914
11914

end0.0ms (0%)

sample1.1s (19.2%)

Algorithm
1×intervals
Results
318.0ms8000×body128valid
Compiler

Compiled 244 to 149 computations (38.9% saved)

Profiling

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