Details

analyze2.2s (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	140
1	4978	140
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
0%	99.9%	0.1%	7
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample100.0ms (0.4%)

Algorithm

1×

intervals

Results

42.0ms	75×	body	1024	valid
16.0ms	130×	body	128	valid
11.0ms	31×	body	512	valid
6.0ms	48×	body	128	invalid
5.0ms	20×	body	256	valid
2.0ms	4×	body	1024	invalid
1.0ms	3×	body	512	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	35
1	4931	35

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

31.2b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
4.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
10.5b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite351.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

17.3b

Rules

108×	`add-exp-log_binary64_457`
58×	`prod-exp_binary64_468`
52×	`add-cbrt-cube_binary64_455`
28×	`times-frac_binary64_425`
26×	`cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
24×	`div-exp_binary64_470`
20×	`pow1_binary64_480`
19×	`*-un-lft-identity_binary64_419`
18×	`associate-l_binary64_360`
17×	`add-cube-cbrt_binary64_454`
16×	`associate-*l/_binary64_362`
12×	`associate-/l*_binary64_364`
10×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447` `pow-prod-down_binary64_490` `frac-times_binary64_429` `associate-r_binary64_359`
8×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-undiv_binary64_453` `tan-quot_binary64_578`
6×	`associate-*r/_binary64_361`
5×	`unswap-sqr_binary64_387`
4×	`add-log-exp_binary64_458` `sqr-pow_binary64_391` `flip3-+_binary64_422` `flip-+_binary64_393`
3×	`unpow3_binary64_485` `cube-mult_binary64_449` `*-commutative_binary64_350`
2×	`div-inv_binary64_416`
1×	`frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/r*_binary64_363` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370`

Counts

4 → 159

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
10.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5186 to 2726 computations (47.4% saved)

series1.7s (6.9%)

Error

23.0b

Counts

4 → 42

Calls

4 calls:

888.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
450.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
235.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
107.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 3217 to 2532 computations (21.3% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4988	4617
1	4988	4617

prune306.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	191	10	201
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	10	202

Error

14.2b

Counts

202 → 10

Compiler

Compiled 5875 to 3198 computations (45.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
4.7b	(*.f64 (sin.f64 k) (/.f64 t l))
8.3b	(/.f64 (*.f64 t t) l)
10.5b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite311.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

120×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
70×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
34×	`frac-times_binary64_429`
31×	`associate-*r/_binary64_361`
29×	`pow1_binary64_480`
27×	`associate-*l/_binary64_362`
21×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `add-sqr-sqrt_binary64_441`
20×	`associate-r_binary64_359`
18×	`*-un-lft-identity_binary64_419`
17×	`pow-prod-down_binary64_490`
16×	`add-cube-cbrt_binary64_454` `tan-quot_binary64_578`
13×	`times-frac_binary64_425`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
5×	`associate-l_binary64_360`
4×	`add-log-exp_binary64_458`
3×	`-commutative_binary64_350` `associate-/r_binary64_363`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l*_binary64_364`

Counts

4 → 159

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
7.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 6030 to 1992 computations (67% saved)

series1.6s (6.3%)

Error

14.1b

Counts

4 → 42

Calls

4 calls:

888.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
432.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
152.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
69.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3295 to 2429 computations (26.3% saved)

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	4925
1	4971	4925

prune294.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	192	9	201
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	198	13	211

Error

8.6b

Counts

211 → 13

Compiler

Compiled 6112 to 3016 computations (50.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l)))
4.1b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
4.7b	(*.f64 (sin.f64 k) (/.f64 t l))
10.5b	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite415.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

151×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
78×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
76×	`times-frac_binary64_425`
54×	`add-sqr-sqrt_binary64_441`
51×	`*-un-lft-identity_binary64_419`
49×	`add-cube-cbrt_binary64_454` `associate-l_binary64_360`
37×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
35×	`frac-times_binary64_429`
34×	`pow1_binary64_480` `associate-*r/_binary64_361`
28×	`associate-*l/_binary64_362`
21×	`associate-r_binary64_359`
20×	`pow-prod-down_binary64_490`
16×	`tan-quot_binary64_578`
8×	`flip3-+_binary64_422` `flip-+_binary64_393`
5×	`div-inv_binary64_416`
4×	`add-log-exp_binary64_458` `*-commutative_binary64_350`
2×	`unswap-sqr_binary64_387`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `distribute-lft-out_binary64_370` `associate-/r/_binary64_365`

Counts

4 → 214

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
20.0ms	(.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l)))
17.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 8160 to 2642 computations (67.6% saved)

series1.8s (7.1%)

Error

8.6b

Counts

4 → 46

Calls

4 calls:

876.0ms	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
433.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
245.0ms	(.f64 (/.f64 t (/.f64 l t)) (.f64 (sin.f64 k) (/.f64 t l)))
164.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3563 to 2676 computations (24.9% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4978	6375
1	4978	6375

prune378.0ms (1.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	251	9	260
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	259	14	273

Error

5.5b

Counts

273 → 14

Compiler

Compiled 8134 to 3890 computations (52.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.5b	(.f64 (.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 l t)) (cbrt.f64 (/.f64 l t)))) (.f64 (/.f64 (.f64 t (sin.f64 k)) l) (/.f64 t (cbrt.f64 (/.f64 l t))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.9b	(cbrt.f64 (/.f64 l t))
14.9b	(cbrt.f64 (/.f64 l t))
14.9b	(cbrt.f64 (/.f64 l t))

rewrite478.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

345×	`add-exp-log_binary64_457`
227×	`prod-exp_binary64_468`
136×	`add-cbrt-cube_binary64_455`
97×	`cbrt-unprod_binary64_452`
81×	`frac-times_binary64_429`
77×	`div-exp_binary64_470`
54×	`associate-*l/_binary64_362`
39×	`cbrt-prod_binary64_450`
35×	`cbrt-undiv_binary64_453` `associate-*r/_binary64_361`
28×	`*-un-lft-identity_binary64_419`
27×	`times-frac_binary64_425`
26×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
24×	`tan-quot_binary64_578`
18×	`pow1_binary64_480`
16×	`flip3-+_binary64_422` `flip-+_binary64_393`
14×	`1-exp_binary64_463` `rec-exp_binary64_469`
10×	`pow-prod-down_binary64_490`
4×	`add-log-exp_binary64_458` `associate-r_binary64_359`
3×	`pow1/3_binary64_501` `cbrt-div_binary64_451` `div-inv_binary64_416`
1×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-l_binary64_360` `distribute-lft-out_binary64_370` `*-commutative_binary64_350`

Counts

4 → 206

Calls

4 calls:

51.0ms	(.f64 (.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 l t)) (cbrt.f64 (/.f64 l t)))) (.f64 (/.f64 (.f64 t (sin.f64 k)) l) (/.f64 t (cbrt.f64 (/.f64 l t))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
2.0ms	(cbrt.f64 (/.f64 l t))
2.0ms	(cbrt.f64 (/.f64 l t))
2.0ms	(cbrt.f64 (/.f64 l t))

Compiler

Compiled 11211 to 3639 computations (67.5% saved)

series1.7s (6.6%)

Error

5.5b

Counts

4 → 35

Calls

4 calls:

984.0ms	(.f64 (.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 l t)) (cbrt.f64 (/.f64 l t)))) (.f64 (/.f64 (.f64 t (sin.f64 k)) l) (/.f64 t (cbrt.f64 (/.f64 l t))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
211.0ms	(cbrt.f64 (/.f64 l t))
211.0ms	(cbrt.f64 (/.f64 l t))
203.0ms	(cbrt.f64 (/.f64 l t))

Compiler

Compiled 3920 to 2749 computations (29.9% saved)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5061	7884

prune336.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	238	3	241
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	238	17	255

Error

5.4b

Counts

255 → 17

Compiler

Compiled 8884 to 3128 computations (64.8% saved)

regimes3.8s (15%)

Accuracy

Total 4.0b remaining (33.8%)

Threshold costs 0b (0%)

Compiler

Compiled 44243 to 31809 computations (28.1% saved)

bsearch191.0ms (0.8%)

Steps

Iters	Range		Point
10	4.6925105660558015e-169	9.465012150168385e-154	9.316965900380896e-154
6	-3.0126788777066614e-201	-3.521277629594954e-202	-2.972876280547332e-201

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	157
1	63	157

end0.0ms (0%)

sample8.7s (34.6%)

Algorithm

1×

intervals

Results

1.4s	2719×	body	1024	valid
452.0ms	1212×	body	512	valid
441.0ms	3460×	body	128	valid
184.0ms	1449×	body	128	invalid
153.0ms	607×	body	256	valid
52.0ms	145×	body	512	invalid
29.0ms	59×	body	1024	invalid
27.0ms	111×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 7306 to 5228 computations (28.4% saved)

Details

analyze2.2s (8.6%)

sample100.0ms (0.4%)

simplify58.0ms (0.2%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite351.0ms (1.4%)

series1.7s (6.9%)

simplify79.0ms (0.3%)

prune306.0ms (1.2%)

localize18.0ms (0.1%)

rewrite311.0ms (1.2%)

series1.6s (6.3%)

simplify99.0ms (0.4%)

prune294.0ms (1.2%)

localize18.0ms (0.1%)

rewrite415.0ms (1.6%)

series1.8s (7.1%)

simplify115.0ms (0.5%)

prune378.0ms (1.5%)

localize24.0ms (0.1%)

rewrite478.0ms (1.9%)

series1.7s (6.6%)

simplify135.0ms (0.5%)

prune336.0ms (1.3%)

regimes3.8s (15%)

bsearch191.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.7s (34.6%)

Profiling