Details

analyze697.0ms (24%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5005	52
0	3	3
1	3	3

Search

True	Other	False	Iter
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
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify65.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4743	13
1	4743	13

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 31 to 30 computations (3.2% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_10006` `*-un-lft-identity_binary64_9967`
1×	`add-sqr-sqrt_binary64_9989` `add-cbrt-cube_binary64_10003` `flip3-+_binary64_9970` `distribute-lft-out_binary64_9918` `flip-+_binary64_9941` `add-cube-cbrt_binary64_10002` `add-exp-log_binary64_10005` `+-commutative_binary64_9897` `sum-log_binary64_10058` `pow1_binary64_10028`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))

series24.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y))

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5315	362

prune21.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	15	2	17

Error

0.0b

Counts

17 → 2

Compiler

Compiled 321 to 236 computations (26.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z x) (/.f64 y 4))
0.0b	(-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))

rewrite60.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

232×	`times-frac_binary64_9973`
170×	`add-sqr-sqrt_binary64_9989`
163×	`*-un-lft-identity_binary64_9967`
107×	`add-cube-cbrt_binary64_10002`
70×	`cancel-sign-sub-inv_binary64_9933`
30×	`difference-of-squares_binary64_9936`
28×	`distribute-lft-out--_binary64_9919`
13×	`div-inv_binary64_9964` `associate-/r*_binary64_9911`
7×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
5×	`associate-/l*_binary64_9912`
4×	`add-log-exp_binary64_10006`
3×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
2×	`flip--_binary64_9942` `flip3--_binary64_9971` `associate-/l/_binary64_9914` `div-sub_binary64_9972` `pow1_binary64_10028` `associate-/r/_binary64_9913`
1×	`associate--r-_binary64_9906` `sub-neg_binary64_9960` `diff-log_binary64_10059` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

2 → 187

Calls

2 calls:

27.0ms	(-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))
9.0ms	(/.f64 (-.f64 z x) (/.f64 y 4))

series56.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(/.f64 (-.f64 z x) (/.f64 y 4))
24.0ms	(-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))

simplify93.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4989	4149
1	4989	4149

prune156.0ms (5.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	193	2	195

Error

0.0b

Counts

195 → 2

Compiler

Compiled 3281 to 1675 computations (48.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 z x) (/.f64 y 4))
0.0b	(-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))
0.0b	(exp.f64 (-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4))))
0.7b	(log.f64 (exp.f64 (-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))))

rewrite158.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Rules

458×	`times-frac_binary64_9973`
343×	`add-sqr-sqrt_binary64_9989`
322×	`*-un-lft-identity_binary64_9967`
210×	`add-cube-cbrt_binary64_10002` `cancel-sign-sub-inv_binary64_9933`
144×	`exp-sum_binary64_10013`
75×	`log-prod_binary64_10053`
62×	`difference-of-squares_binary64_9936`
56×	`distribute-lft-out--_binary64_9919`
25×	`div-inv_binary64_9964`
14×	`exp-prod_binary64_10019`
13×	`associate-/r*_binary64_9911`
9×	`add-cbrt-cube_binary64_10003` `add-log-exp_binary64_10006` `add-exp-log_binary64_10005`
8×	`log-pow_binary64_10056`
5×	`associate-/l*_binary64_9912` `pow1_binary64_10028`
4×	`div-sub_binary64_9972` `associate-/r/_binary64_9913`
3×	`div-exp_binary64_10018` `associate--r-_binary64_9906` `cbrt-undiv_binary64_10001` `sub-neg_binary64_9960`
2×	`flip--_binary64_9942` `flip3--_binary64_9971` `associate-/l/_binary64_9914` `diff-log_binary64_10059` `exp-diff_binary64_10015` `rem-exp-log_binary64_10007`
1×	`log-div_binary64_10054` `rem-log-exp_binary64_10008` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

4 → 368

Calls

4 calls:

37.0ms	(log.f64 (exp.f64 (-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))))
31.0ms	(exp.f64 (-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4))))
27.0ms	(-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))
15.0ms	(/.f64 (-.f64 z x) (/.f64 y 4))

series194.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(log.f64 (exp.f64 (-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))))
59.0ms	(exp.f64 (-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4))))
30.0ms	(/.f64 (-.f64 z x) (/.f64 y 4))
22.0ms	(-.f64 2 (/.f64 (-.f64 z x) (/.f64 y 4)))

simplify117.0ms (4%)

Algorithm

1×	egg-herbie

Counts

380 → 380

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5022	9935

prune422.0ms (14.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	380	2	382

Error

0.0b

Counts

382 → 2

Compiler

Compiled 7807 to 4124 computations (47.2% saved)

regimes97.0ms (3.3%)

Accuracy

Total 0.0b remaining (38.2%)

Threshold costs 0.0b (38.2%)

Compiler

Compiled 450 to 461 computations (-2.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	115	13
1	115	13

end0.0ms (0%)

sample643.0ms (22.1%)

Algorithm

1×

intervals

Results

293.0ms	8000×	body	128	valid
35.0ms	903×	body	128	invalid

Compiler

Compiled 81 to 84 computations (-3.7% saved)

Details

analyze697.0ms (24%)

sample19.0ms (0.6%)

simplify65.0ms (2.2%)

prune4.0ms (0.1%)

localize9.0ms (0.3%)

rewrite7.0ms (0.2%)

series24.0ms (0.8%)

simplify46.0ms (1.6%)

prune21.0ms (0.7%)

localize7.0ms (0.3%)

rewrite60.0ms (2.1%)

series56.0ms (1.9%)

simplify93.0ms (3.2%)

prune156.0ms (5.4%)

localize10.0ms (0.4%)

rewrite158.0ms (5.4%)

series194.0ms (6.7%)

simplify117.0ms (4%)

prune422.0ms (14.5%)

regimes97.0ms (3.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample643.0ms (22.1%)

Profiling