Details

analyze1.1s (12.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4903	176
1	4903	176
0	5	5
1	5	5

Search

True	Other	False	Iter
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
0%	99.8%	0.2%	9
13.2%	86.5%	0.2%	10
17%	82.8%	0.2%	11
18.2%	81.5%	0.2%	12
21.7%	78.1%	0.2%	13
32.9%	66.9%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify186.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	4973	16
1	4973	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

9.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 a z))
9.3b	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))

rewrite76.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

9.4b

Rules

11×	`add-cube-cbrt_binary64_20573` `add-sqr-sqrt_binary64_20560` `*-un-lft-identity_binary64_20538`
9×	`times-frac_binary64_20544`
7×	`add-log-exp_binary64_20577`
5×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
4×	`flip3--_binary64_20542` `flip--_binary64_20513`
3×	`pow1_binary64_20599` `associate-/l_binary64_20483` `associate-/r_binary64_20482`
2×	`associate-/l/_binary64_20485` `associate-/r/_binary64_20484` `diff-log_binary64_20630` `sub-neg_binary64_20531` `cancel-sign-sub-inv_binary64_20504`
1×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `frac-2neg_binary64_20549` `div-sub_binary64_20543` `clear-num_binary64_20537` `div-inv_binary64_20535`

Counts

3 → 56

Calls

3 calls:

6.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
3.0ms	(-.f64 x (*.f64 y z))
3.0ms	(-.f64 t (*.f64 a z))

Compiler

Compiled 1164 to 205 computations (82.4% saved)

series551.0ms (6.1%)

Error

3.2b

Counts

3 → 66

Calls

3 calls:

342.0ms	(/.f64 (-.f64 x (.f64 y z)) (-.f64 t (.f64 a z)))
86.0ms	(-.f64 x (*.f64 y z))
84.0ms	(-.f64 t (*.f64 a z))

Compiler

Compiled 2441 to 1502 computations (38.5% saved)

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5036	1853

prune97.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Error

3.1b

Counts

123 → 8

Compiler

Compiled 1961 to 326 computations (83.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 z a))
0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
2.4b	(/.f64 x (-.f64 t (*.f64 z a)))
8.8b	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))

rewrite117.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.8b

Rules

21×	`add-sqr-sqrt_binary64_20560`
18×	`*-un-lft-identity_binary64_20538`
16×	`add-cube-cbrt_binary64_20573` `times-frac_binary64_20544`
11×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
10×	`associate-/r/_binary64_20484` `cancel-sign-sub-inv_binary64_20504`
8×	`add-log-exp_binary64_20577`
7×	`flip3--_binary64_20542` `flip--_binary64_20513`
6×	`associate-/r*_binary64_20482`
5×	`div-inv_binary64_20535`
4×	`pow1_binary64_20599` `associate-/l*_binary64_20483`
3×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `distribute-rgt-out--_binary64_20492`
2×	`frac-2neg_binary64_20549` `clear-num_binary64_20537` `diff-log_binary64_20630` `sub-neg_binary64_20531` `difference-of-squares_binary64_20507`
1×	`prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `frac-sub_binary64_20547` `sub-div_binary64_20545` `distribute-lft-out--_binary64_20490`

Counts

4 → 92

Calls

4 calls:

16.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
6.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
4.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 2519 to 386 computations (84.7% saved)

series875.0ms (9.6%)

Error

1.3b

Counts

4 → 81

Calls

4 calls:

456.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (/.f64 (.f64 z y) (-.f64 t (*.f64 z a))))
159.0ms	(/.f64 (.f64 z y) (-.f64 t (.f64 z a)))
130.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
79.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 4026 to 2348 computations (41.7% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5355	2998

prune129.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	168	5	173
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	172	9	181

Error

0.0b

Counts

181 → 9

Compiler

Compiled 3714 to 469 computations (87.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
2.4b	(/.f64 x (-.f64 t (*.f64 z a)))
2.6b	(/.f64 y (-.f64 t (*.f64 z a)))
6.4b	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))

rewrite119.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64_20560`
28×	`add-cube-cbrt_binary64_20573` `*-un-lft-identity_binary64_20538` `times-frac_binary64_20544`
15×	`associate-r_binary64_20478`
13×	`add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
6×	`pow1_binary64_20599` `add-log-exp_binary64_20577` `associate-/r/_binary64_20484` `associate-/l_binary64_20483` `associate-/r_binary64_20482`
4×	`flip3--_binary64_20542` `flip--_binary64_20513`
3×	`div-exp_binary64_20589` `cbrt-undiv_binary64_20572` `associate-r/_binary64_20480` `associate-l*_binary64_20479` `div-inv_binary64_20535`
2×	`prod-exp_binary64_20587` `cbrt-unprod_binary64_20571` `unswap-sqr_binary64_20506` `frac-2neg_binary64_20549` `clear-num_binary64_20537`
1×	`pow-prod-down_binary64_20609` `*-commutative_binary64_20469` `diff-log_binary64_20630` `frac-sub_binary64_20547` `sub-div_binary64_20545` `sub-neg_binary64_20531` `cancel-sign-sub-inv_binary64_20504`

Counts

4 → 106

Calls

4 calls:

9.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))
8.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
5.0ms	(/.f64 y (-.f64 t (*.f64 z a)))
4.0ms	(/.f64 x (-.f64 t (*.f64 z a)))

Compiler

Compiled 2882 to 453 computations (84.3% saved)

series883.0ms (9.7%)

Error

0.0b

Counts

4 → 75

Calls

4 calls:

431.0ms	(-.f64 (/.f64 x (-.f64 t (.f64 z a))) (.f64 z (/.f64 y (-.f64 t (*.f64 z a)))))
162.0ms	(.f64 z (/.f64 y (-.f64 t (.f64 z a))))
131.0ms	(/.f64 x (-.f64 t (*.f64 z a)))
113.0ms	(/.f64 y (-.f64 t (*.f64 z a)))

Compiler

Compiled 3952 to 2373 computations (40% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5021	3125

prune127.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	181	9	190

Error

0.0b

Counts

190 → 9

Compiler

Compiled 3994 to 537 computations (86.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 y z))
0.0b	(-.f64 t (*.f64 z a))
0.7b	(/.f64 1 (-.f64 t (*.f64 z a)))
8.7b	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))

rewrite111.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64_20560`
21×	`*-un-lft-identity_binary64_20538`
20×	`add-cube-cbrt_binary64_20573` `times-frac_binary64_20544`
17×	`add-exp-log_binary64_20576`
15×	`associate-r_binary64_20478`
11×	`add-cbrt-cube_binary64_20574`
8×	`add-log-exp_binary64_20577`
7×	`pow1_binary64_20599`
6×	`flip3--_binary64_20542` `flip--_binary64_20513`
4×	`div-exp_binary64_20589` `prod-exp_binary64_20587` `associate-/r/_binary64_20484`
3×	`unswap-sqr_binary64_20506` `associate-l_binary64_20479` `associate-/l_binary64_20483` `associate-/r_binary64_20482`
2×	`1-exp_binary64_20582` `rec-exp_binary64_20588` `cbrt-unprod_binary64_20571` `cbrt-undiv_binary64_20572` `frac-times_binary64_20548` `associate-*l/_binary64_20481` `div-inv_binary64_20535` `diff-log_binary64_20630` `sub-neg_binary64_20531` `cancel-sign-sub-inv_binary64_20504`
1×	`pow-prod-down_binary64_20609` `un-div-inv_binary64_20536` `associate-r/_binary64_20480` `-commutative_binary64_20469` `inv-pow_binary64_20623` `pow-flip_binary64_20612` `frac-2neg_binary64_20549` `clear-num_binary64_20537`

Counts

4 → 99

Calls

4 calls:

12.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
5.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
3.0ms	(-.f64 t (*.f64 z a))
3.0ms	(-.f64 x (*.f64 y z))

Compiler

Compiled 2207 to 663 computations (70% saved)

series652.0ms (7.2%)

Error

0.0b

Counts

4 → 83

Calls

4 calls:

342.0ms	(.f64 (-.f64 x (.f64 y z)) (/.f64 1 (-.f64 t (*.f64 z a))))
87.0ms	(/.f64 1 (-.f64 t (*.f64 z a)))
86.0ms	(-.f64 x (*.f64 y z))
85.0ms	(-.f64 t (*.f64 z a))

Compiler

Compiled 3445 to 2304 computations (33.1% saved)

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5236	2668

prune122.0ms (1.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	182	9	191

Error

0.0b

Counts

191 → 9

Compiler

Compiled 3012 to 712 computations (76.4% saved)

regimes1.5s (17%)

Accuracy

Total 3.6b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 11234 to 6966 computations (38% saved)

bsearch4.0ms (0%)

Compiler: Compiled 11 to 10 computations (9.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	126	151
1	126	151

end0.0ms (0%)

sample2.0s (21.9%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	128	valid
31.0ms	743×	body	128	invalid

Compiler

Compiled 2008 to 1210 computations (39.7% saved)

Details

analyze1.1s (12.1%)

sample25.0ms (0.3%)

simplify186.0ms (2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite76.0ms (0.8%)

series551.0ms (6.1%)

simplify69.0ms (0.8%)

prune97.0ms (1.1%)

localize10.0ms (0.1%)

rewrite117.0ms (1.3%)

series875.0ms (9.6%)

simplify85.0ms (0.9%)

prune129.0ms (1.4%)

localize10.0ms (0.1%)

rewrite119.0ms (1.3%)

series883.0ms (9.7%)

simplify87.0ms (1%)

prune127.0ms (1.4%)

localize12.0ms (0.1%)

rewrite111.0ms (1.2%)

series652.0ms (7.2%)

simplify82.0ms (0.9%)

prune122.0ms (1.3%)

regimes1.5s (17%)

bsearch4.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.0s (21.9%)

Profiling