Details

Time bar (total: 13.0s)

analyze1.3s (9.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
5.8%93.9%0.3%11
8.4%91.3%0.3%12
9.7%90%0.3%13
10.7%89%0.3%14
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample27.0ms (0.2%)

Algorithm
intervals
Results
12.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify96.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04825
14825

prune9.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
15.7b
Counts
2 → 1
Compiler

Compiled 34 to 30 computations (11.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.4b
(/.f64 (*.f64 y z) t)
4.7b
(/.f64 (*.f64 y b) t)
10.7b
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite179.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
8.7b
Rules
61×*-un-lft-identity_binary64_17128
26×times-frac_binary64_17134
24×distribute-lft-out_binary64_17079
19×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150
16×add-exp-log_binary64_17166 add-cbrt-cube_binary64_17164
11×associate-/r*_binary64_17072
add-log-exp_binary64_17167
associate-/l*_binary64_17073
div-exp_binary64_17179 cbrt-undiv_binary64_17162 flip3-+_binary64_17131 flip-+_binary64_17102
pow1_binary64_17189 frac-add_binary64_17136 associate-/r/_binary64_17074
frac-2neg_binary64_17139 clear-num_binary64_17127 div-inv_binary64_17125 sum-log_binary64_17219
associate-/l/_binary64_17075 prod-exp_binary64_17177 cbrt-unprod_binary64_17161
associate-+l+_binary64_17061 +-commutative_binary64_17058
Counts
4 → 106
Calls

4 calls:

14.0ms
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
7.0ms
(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
5.0ms
(/.f64 (*.f64 y b) t)
4.0ms
(/.f64 (*.f64 y z) t)
Compiler

Compiled 2888 to 960 computations (66.8% saved)

series1.2s (9.5%)

Error
3.5b
Counts
4 → 81
Calls

4 calls:

772.0ms
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
178.0ms
(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
106.0ms
(/.f64 (*.f64 y z) t)
98.0ms
(/.f64 (*.f64 y b) t)
Compiler

Compiled 6099 to 3922 computations (35.7% saved)

simplify75.0ms (0.6%)

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050354721

prune198.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New17611187
Fresh000
Picked101
Done000
Total17711188
Error
0.3b
Counts
188 → 11
Compiler

Compiled 4860 to 1558 computations (67.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 t)
3.4b
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
4.7b
(/.f64 (*.f64 y b) t)
10.7b
(/.f64 (+.f64 x (*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite185.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
52×*-un-lft-identity_binary64_17128
48×add-sqr-sqrt_binary64_17150
46×times-frac_binary64_17134
32×add-exp-log_binary64_17166 add-cube-cbrt_binary64_17163
25×add-cbrt-cube_binary64_17164
22×associate-*r*_binary64_17068
14×cbrt-prod_binary64_17159
12×distribute-lft-out_binary64_17079
10×div-exp_binary64_17179 cbrt-undiv_binary64_17162
prod-exp_binary64_17177 cbrt-unprod_binary64_17161
associate-/r*_binary64_17072
associate-*l*_binary64_17069
pow1_binary64_17189 unswap-sqr_binary64_17096
add-log-exp_binary64_17167 div-inv_binary64_17125 associate-/r/_binary64_17074 associate-/l*_binary64_17073
flip3-+_binary64_17131 flip-+_binary64_17102
frac-2neg_binary64_17139 clear-num_binary64_17127 associate-/l/_binary64_17075 frac-add_binary64_17136
pow-prod-down_binary64_17199 frac-times_binary64_17138 associate-*l/_binary64_17071 associate-*r/_binary64_17070 *-commutative_binary64_17059 pow1/3_binary64_17210
Counts
4 → 132
Calls

4 calls:

16.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
15.0ms
(/.f64 (+.f64 x (*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
4.0ms
(/.f64 (*.f64 y b) t)
1.0ms
(cbrt.f64 t)
Compiler

Compiled 4732 to 1172 computations (75.2% saved)

series1.2s (9.1%)

Error
0.3b
Counts
4 → 60
Calls

4 calls:

795.0ms
(/.f64 (+.f64 x (*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
129.0ms
(*.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
109.0ms
(/.f64 (*.f64 y b) t)
79.0ms
(cbrt.f64 t)
Compiler

Compiled 5673 to 3617 computations (36.2% saved)

simplify90.0ms (0.7%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050374829

prune188.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1911192
Fresh01010
Picked011
Done000
Total19112203
Error
0.3b
Counts
203 → 12
Compiler

Compiled 5790 to 1872 computations (67.7% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 y) (cbrt.f64 t))))
4.7b
(/.f64 (*.f64 y b) t)
10.7b
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 y) (cbrt.f64 t))))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite211.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
80×add-exp-log_binary64_17166
42×add-cbrt-cube_binary64_17164
40×*-un-lft-identity_binary64_17128
33×prod-exp_binary64_17177 cbrt-unprod_binary64_17161
25×div-exp_binary64_17179 cbrt-undiv_binary64_17162
24×times-frac_binary64_17134
20×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150
12×distribute-lft-out_binary64_17079
10×associate-*l*_binary64_17069
pow1_binary64_17189
associate-/r*_binary64_17072
cbrt-prod_binary64_17159
frac-times_binary64_17138 associate-*r/_binary64_17070
add-log-exp_binary64_17167 associate-/r/_binary64_17074 associate-/l*_binary64_17073
div-inv_binary64_17125 flip3-+_binary64_17131 flip-+_binary64_17102 pow-prod-down_binary64_17199 associate-*l/_binary64_17071
frac-2neg_binary64_17139 clear-num_binary64_17127 associate-/l/_binary64_17075 frac-add_binary64_17136
associate-*r*_binary64_17068 *-commutative_binary64_17059 pow1/3_binary64_17210
Counts
4 → 131
Calls

4 calls:

18.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 y) (cbrt.f64 t))))
15.0ms
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 y) (cbrt.f64 t))))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
4.0ms
(/.f64 (*.f64 y b) t)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 5897 to 1157 computations (80.4% saved)

series1.3s (9.7%)

Error
0.3b
Counts
4 → 60
Calls

4 calls:

863.0ms
(/.f64 (+.f64 x (*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 y) (cbrt.f64 t))))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
154.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 y) (cbrt.f64 t))))
101.0ms
(/.f64 (*.f64 y b) t)
74.0ms
(cbrt.f64 y)
Compiler

Compiled 6006 to 3790 computations (36.9% saved)

simplify90.0ms (0.7%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050354760

prune196.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1901191
Fresh2810
Picked011
Done011
Total19211203
Error
0.1b
Counts
203 → 11
Compiler

Compiled 5998 to 1762 computations (70.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t)))
4.4b
(/.f64 (*.f64 y z) t)
6.7b
(*.f64 y (/.f64 b t))
10.7b
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))

rewrite144.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
31×*-un-lft-identity_binary64_17128
28×add-sqr-sqrt_binary64_17150
25×times-frac_binary64_17134
23×add-cube-cbrt_binary64_17163
16×add-exp-log_binary64_17166 add-cbrt-cube_binary64_17164
13×associate-*r*_binary64_17068
add-log-exp_binary64_17167
pow1_binary64_17189 associate-/r*_binary64_17072
flip3-+_binary64_17131 flip-+_binary64_17102 associate-*r/_binary64_17070 associate-/l*_binary64_17073
div-exp_binary64_17179 cbrt-undiv_binary64_17162 distribute-lft-out_binary64_17079 frac-add_binary64_17136 associate-/r/_binary64_17074
div-inv_binary64_17125 prod-exp_binary64_17177 cbrt-unprod_binary64_17161 associate-*l*_binary64_17069 sum-log_binary64_17219
frac-2neg_binary64_17139 clear-num_binary64_17127 associate-/l/_binary64_17075 unswap-sqr_binary64_17096
pow-prod-down_binary64_17199 *-commutative_binary64_17059 associate-+l+_binary64_17061 +-commutative_binary64_17058
Counts
4 → 105
Calls

4 calls:

12.0ms
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))
8.0ms
(*.f64 y (/.f64 b t))
6.0ms
(+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t)))
5.0ms
(/.f64 (*.f64 y z) t)
Compiler

Compiled 2885 to 969 computations (66.4% saved)

series1.2s (9.5%)

Error
0.1b
Counts
4 → 81
Calls

4 calls:

800.0ms
(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))
170.0ms
(+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t)))
100.0ms
(/.f64 (*.f64 y z) t)
99.0ms
(*.f64 y (/.f64 b t))
Compiler

Compiled 6099 to 3924 computations (35.7% saved)

simplify74.0ms (0.6%)

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053004516

prune153.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1851186
Fresh178
Picked011
Done112
Total18710197
Error
0.1b
Counts
197 → 10
Compiler

Compiled 4621 to 1381 computations (70.1% saved)

regimes2.1s (16.3%)

Accuracy

Total 7.0b remaining (93.9%)

Threshold costs 0b (0%)

Compiler

Compiled 21667 to 15197 computations (29.9% saved)

bsearch5.0ms (0%)

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify32.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0777214
1777214

end0.0ms (0%)

sample2.7s (20.7%)

Algorithm
intervals
Results
628.0ms8000×body128valid
13.0ms258×body128invalid
Compiler

Compiled 2696 to 1852 computations (31.3% saved)

Profiling

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