Details

Time bar (total: 5.1s)

analyze976.0ms (19.3%)

Algorithm
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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.9%73.3%0.8%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample42.0ms (0.8%)

Algorithm
intervals
Results
14.0ms256×body128valid
4.0ms78×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify228.0ms (4.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
073413
173413

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.1b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b
(*.f64 y (-.f64 z x))
7.3b
(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite54.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64_7239 add-sqr-sqrt_binary64_7261
10×add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275
add-cube-cbrt_binary64_7274
cancel-sign-sub-inv_binary64_7205
add-log-exp_binary64_7278 pow1_binary64_7300 associate-*r*_binary64_7179
associate-*r/_binary64_7181 distribute-lft-in_binary64_7188 distribute-rgt-in_binary64_7189
associate-/r*_binary64_7183 associate-*l*_binary64_7180 times-frac_binary64_7245
flip3--_binary64_7243 cbrt-unprod_binary64_7272 flip--_binary64_7214 associate-/l/_binary64_7186 prod-exp_binary64_7288 cbrt-undiv_binary64_7273 div-exp_binary64_7290 sub-neg_binary64_7232
flip-+_binary64_7213 flip3-+_binary64_7242 pow-prod-down_binary64_7310 frac-2neg_binary64_7250 unswap-sqr_binary64_7207 *-commutative_binary64_7170 associate-/l*_binary64_7184 div-inv_binary64_7236 distribute-lft-out--_binary64_7191 difference-of-squares_binary64_7208 distribute-lft-out_binary64_7190 +-commutative_binary64_7169 sum-log_binary64_7330 clear-num_binary64_7238
Counts
3 → 65
Calls

3 calls:

16.0ms
(/.f64 (*.f64 y (-.f64 z x)) t)
15.0ms
(*.f64 y (-.f64 z x))
15.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

series168.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

72.0ms
(/.f64 (*.f64 y (-.f64 z x)) t)
53.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
42.0ms
(*.f64 y (-.f64 z x))

simplify72.0ms (1.4%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05423909

prune77.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New67774
Fresh000
Picked101
Done000
Total68775
Error
0b
Counts
75 → 7
Compiler

Compiled 1086 to 295 computations (72.8% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
0.6b
(cbrt.f64 t)
6.1b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite65.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt_binary64_7261
40×times-frac_binary64_7245
38×*-un-lft-identity_binary64_7239
34×associate-*r*_binary64_7179
26×cbrt-prod_binary64_7270 add-cube-cbrt_binary64_7274
25×add-exp-log_binary64_7277
18×add-cbrt-cube_binary64_7275
cbrt-unprod_binary64_7272 prod-exp_binary64_7288
cbrt-undiv_binary64_7273 div-exp_binary64_7290 associate-*l*_binary64_7180
unswap-sqr_binary64_7207 distribute-lft-out--_binary64_7191 difference-of-squares_binary64_7208 pow1_binary64_7300
add-log-exp_binary64_7278
pow1/3_binary64_7321
div-inv_binary64_7236
associate-*r/_binary64_7181 associate-*l/_binary64_7182 pow-prod-down_binary64_7310 frac-times_binary64_7249 *-commutative_binary64_7170
Counts
4 → 104
Calls

4 calls:

38.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
2.0ms
(cbrt.f64 t)
2.0ms
(cbrt.f64 t)
2.0ms
(cbrt.f64 t)

series534.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

208.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
129.0ms
(cbrt.f64 t)
105.0ms
(cbrt.f64 t)
92.0ms
(cbrt.f64 t)

simplify132.0ms (2.6%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
049391657
149391657

prune118.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh246
Picked011
Done000
Total1176123
Error
0b
Counts
123 → 6
Compiler

Compiled 2329 to 692 computations (70.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))
8.1b
(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))

rewrite56.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt_binary64_7261
56×times-frac_binary64_7245
52×cancel-sign-sub-inv_binary64_7205
48×*-un-lft-identity_binary64_7239
40×add-cube-cbrt_binary64_7274
28×distribute-lft-in_binary64_7188 distribute-rgt-in_binary64_7189 associate-+r+_binary64_7171
13×associate-*l*_binary64_7180
12×associate-*r*_binary64_7179
add-exp-log_binary64_7277 div-inv_binary64_7236 add-cbrt-cube_binary64_7275
associate-*r/_binary64_7181 add-log-exp_binary64_7278 frac-times_binary64_7249 distribute-lft-out--_binary64_7191 difference-of-squares_binary64_7208 pow1_binary64_7300 sub-neg_binary64_7232
flip3--_binary64_7243 cbrt-unprod_binary64_7272 flip--_binary64_7214 frac-sub_binary64_7248 unswap-sqr_binary64_7207 prod-exp_binary64_7288 sub-div_binary64_7246
flip-+_binary64_7213 distribute-rgt-out--_binary64_7193 flip3-+_binary64_7242 associate-*l/_binary64_7182 pow-prod-down_binary64_7310 *-commutative_binary64_7170 cbrt-undiv_binary64_7273 div-exp_binary64_7290 +-commutative_binary64_7169 sum-log_binary64_7330
Counts
2 → 116
Calls

2 calls:

30.0ms
(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
9.0ms
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

series146.0ms (2.9%)

Counts
2 → 6
Calls

2 calls:

102.0ms
(*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1)))
44.0ms
(+.f64 x (*.f64 (/.f64 y t) (-.f64 (/.f64 x -1) (/.f64 z -1))))

simplify89.0ms (1.8%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050052112

prune161.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done011
Total1226128
Error
0b
Counts
128 → 6
Compiler

Compiled 2448 to 1279 computations (47.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b
(/.f64 t (-.f64 z x))
5.5b
(/.f64 y (/.f64 t (-.f64 z x)))

rewrite85.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_7245
105×*-un-lft-identity_binary64_7239
103×add-sqr-sqrt_binary64_7261
71×add-cube-cbrt_binary64_7274
26×associate-/r*_binary64_7183
16×distribute-lft-out--_binary64_7191 difference-of-squares_binary64_7208
11×associate-/r/_binary64_7185
10×add-exp-log_binary64_7277 add-cbrt-cube_binary64_7275
associate-/l*_binary64_7184 div-inv_binary64_7236
flip3--_binary64_7243 add-log-exp_binary64_7278 flip--_binary64_7214
cbrt-undiv_binary64_7273 div-exp_binary64_7290
pow1_binary64_7300
frac-2neg_binary64_7250 clear-num_binary64_7238
flip-+_binary64_7213 flip3-+_binary64_7242 distribute-lft-out_binary64_7190 +-commutative_binary64_7169 sum-log_binary64_7330
Counts
3 → 151
Calls

3 calls:

35.0ms
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
16.0ms
(/.f64 y (/.f64 t (-.f64 z x)))
10.0ms
(/.f64 t (-.f64 z x))

series186.0ms (3.7%)

Counts
3 → 9
Calls

3 calls:

71.0ms
(/.f64 y (/.f64 t (-.f64 z x)))
60.0ms
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
55.0ms
(/.f64 t (-.f64 z x))

simplify135.0ms (2.7%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
050503116

prune131.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh033
Picked011
Done022
Total1606166
Error
0b
Counts
166 → 6
Compiler

Compiled 2792 to 555 computations (80.1% saved)

regimes273.0ms (5.4%)

Accuracy

Total 1.2b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 1231 to 938 computations (23.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05581
15581

end0.0ms (0%)

sample1.3s (25.1%)

Algorithm
intervals
Results
344.0ms8000×body128valid
93.0ms2134×body128invalid
Compiler

Compiled 320 to 226 computations (29.4% saved)

Profiling

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