Details

analyze1.0s (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5431	154
0	2	2
1	2	2

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
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample185.0ms (1%)

Algorithm

1×

intervals

Results

117.0ms	115×	body	1024	valid
26.0ms	40×	body	512	valid
17.0ms	83×	body	128	valid
8.0ms	17×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune14.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite531.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

47×	`cancel-sign-sub-inv_binary64_5500`
44×	`add-sqr-sqrt_binary64_5556`
35×	`*-un-lft-identity_binary64_5534`
30×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
29×	`add-cube-cbrt_binary64_5569`
19×	`times-frac_binary64_5540`
11×	`pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
9×	`associate-l_binary64_5475`
8×	`add-log-exp_binary64_5573` `sub-neg_binary64_5527` `sqrt-prod_binary64_5550`
7×	`associate-r_binary64_5474`
6×	`associate-*r/_binary64_5476`
5×	`difference-of-squares_binary64_5503`
4×	`flip3--_binary64_5538` `flip--_binary64_5509` `pow-prod-down_binary64_5605` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567`
3×	`distribute-lft-out--_binary64_5486`
2×	`diff-log_binary64_5626` `*-commutative_binary64_5465` `unswap-sqr_binary64_5502` `div-inv_binary64_5531`
1×	`diff-cos_binary64_5685`

Counts

4 → 128

Calls

4 calls:

15.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
11.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
5.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 7300 to 4859 computations (33.4% saved)

series690.0ms (3.8%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

343.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
199.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
91.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 3121 to 2378 computations (23.8% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5009	2522

prune593.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	142	10	152
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	143	11	154

Error

0.1b

Counts

154 → 11

Compiler

Compiled 8594 to 5751 computations (33.1% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
1.0b	(-.f64 3 (sqrt.f64 5))
1.0b	(cbrt.f64 16)
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite688.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

75×	`cbrt-prod_binary64_5565`
72×	`times-frac_binary64_5540`
65×	`add-sqr-sqrt_binary64_5556`
63×	`*-un-lft-identity_binary64_5534`
59×	`add-cube-cbrt_binary64_5569`
40×	`unpow-prod-down_binary64_5613` `cube-prod_binary64_5562`
9×	`cancel-sign-sub-inv_binary64_5500`
8×	`add-log-exp_binary64_5573`
7×	`add-exp-log_binary64_5572`
5×	`pow1_binary64_5595` `add-cbrt-cube_binary64_5570`
4×	`sqrt-prod_binary64_5550`
3×	`difference-of-squares_binary64_5503` `pow-unpow_binary64_5611`
2×	`diff-log_binary64_5626` `flip3--_binary64_5538` `sub-neg_binary64_5527` `flip--_binary64_5509` `distribute-lft-out--_binary64_5486` `div-inv_binary64_5531` `pow-exp_binary64_5602` `rem-cube-cbrt_binary64_5557`
1×	`diff-cos_binary64_5685` `pow1/3_binary64_5616` `pow-pow_binary64_5606` `pow-to-exp_binary64_5603` `div-exp_binary64_5585` `unpow3_binary64_5600` `cube-mult_binary64_5564` `cube-div_binary64_5563` `cbrt-undiv_binary64_5568` `sqr-pow_binary64_5506`

Counts

4 → 148

Calls

4 calls:

15.0ms	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
1.0ms	(cbrt.f64 16)

Compiler

Compiled 9775 to 6668 computations (31.8% saved)

series453.0ms (2.5%)

Error

0.1b

Counts

4 → 16

Calls

4 calls:

293.0ms	(pow.f64 (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 16)) 3)
111.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2377 to 1885 computations (20.7% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4826	2436
1	4826	2436

prune723.0ms (4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	163	12	175

Error

0.1b

Counts

175 → 12

Compiler

Compiled 10527 to 7273 computations (30.9% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
1.0b	(cbrt.f64 16)
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite233.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`add-sqr-sqrt_binary64_5556` `*-un-lft-identity_binary64_5534`
9×	`cbrt-prod_binary64_5565`
8×	`add-cube-cbrt_binary64_5569`
6×	`add-log-exp_binary64_5573`
4×	`pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
3×	`cancel-sign-sub-inv_binary64_5500` `pow1/3_binary64_5616`
1×	`diff-cos_binary64_5685` `diff-log_binary64_5626` `flip3--_binary64_5538` `sub-neg_binary64_5527` `flip--_binary64_5509` `difference-of-squares_binary64_5503` `distribute-lft-out--_binary64_5486`

Counts

4 → 50

Calls

4 calls:

10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
3.0ms	(cbrt.f64 16)
2.0ms	(cbrt.f64 16)
2.0ms	(cbrt.f64 16)

Compiler

Compiled 3461 to 2512 computations (27.4% saved)

series179.0ms (1%)

Error

0.1b

Counts

4 → 10

Calls

4 calls:

141.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)
0.0ms	(cbrt.f64 16)

Compiler

Compiled 1683 to 1377 computations (18.2% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4894	554
1	4894	554

prune280.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	61	11	72

Error

0.1b

Counts

72 → 11

Compiler

Compiled 4678 to 3445 computations (26.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
2.5b	(-.f64 (cos.f64 x) (cos.f64 y))
3.8b	(log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))

rewrite449.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

26×	`add-sqr-sqrt_binary64_5556`
24×	`*-un-lft-identity_binary64_5534`
21×	`cancel-sign-sub-inv_binary64_5500`
20×	`add-cube-cbrt_binary64_5569`
16×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483`
14×	`log-pow_binary64_5623`
13×	`exp-prod_binary64_5586`
10×	`pow1_binary64_5595`
9×	`times-frac_binary64_5540` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
8×	`add-log-exp_binary64_5573`
6×	`sub-neg_binary64_5527`
4×	`sqrt-prod_binary64_5550` `associate-*r/_binary64_5476`
3×	`log-prod_binary64_5620` `flip3--_binary64_5538` `flip--_binary64_5509` `difference-of-squares_binary64_5503` `pow-prod-down_binary64_5605` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `associate-l_binary64_5475`
2×	`diff-log_binary64_5626` `distribute-lft-out--_binary64_5486`
1×	`div-inv_binary64_5531` `rem-log-exp_binary64_5575` `diff-cos_binary64_5685` `associate-r_binary64_5474` `*-commutative_binary64_5465`

Counts

4 → 98

Calls

4 calls:

11.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
5.0ms	(log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))
5.0ms	(-.f64 3 (sqrt.f64 5))
5.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 6040 to 4218 computations (30.2% saved)

series361.0ms (2%)

Error

0.1b

Counts

4 → 20

Calls

4 calls:

121.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
120.0ms	(log.f64 (exp.f64 (/.f64 (sin.f64 y) 16)))
71.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 2876 to 2257 computations (21.5% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5312	1519

prune446.0ms (2.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	117	12	129

Error

0.1b

Counts

129 → 12

Compiler

Compiled 6854 to 4728 computations (31% saved)

regimes955.0ms (5.2%)

Accuracy

Total 0.3b remaining (75.6%)

Threshold costs 0.3b (75.6%)

Compiler

Compiled 12377 to 9757 computations (21.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	146	103
1	146	103

end0.0ms (0%)

sample9.9s (54.1%)

Algorithm

1×

intervals

Results

3.7s	3504×	body	1024	valid
1.0s	1371×	body	512	valid
602.0ms	2514×	body	128	valid
270.0ms	578×	body	256	valid
62.0ms	33×	body	2048	valid

Compiler

Compiled 4205 to 3319 computations (21.1% saved)

Details

analyze1.0s (5.6%)

sample185.0ms (1%)

simplify60.0ms (0.3%)

prune14.0ms (0.1%)

localize32.0ms (0.2%)

rewrite531.0ms (2.9%)

series690.0ms (3.8%)

simplify82.0ms (0.4%)

prune593.0ms (3.2%)

localize45.0ms (0.2%)

rewrite688.0ms (3.8%)

series453.0ms (2.5%)

simplify124.0ms (0.7%)

prune723.0ms (4%)

localize56.0ms (0.3%)

rewrite233.0ms (1.3%)

series179.0ms (1%)

simplify75.0ms (0.4%)

prune280.0ms (1.5%)

localize35.0ms (0.2%)

rewrite449.0ms (2.5%)

series361.0ms (2%)

simplify73.0ms (0.4%)

prune446.0ms (2.4%)

regimes955.0ms (5.2%)

bsearch0.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample9.9s (54.1%)

Profiling