Details

analyze387.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	12
1	366	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	5
75%	25%	0%	6
78.1%	21.9%	0%	7
78.1%	21.9%	0%	8
78.1%	21.9%	0%	9
78.1%	21.9%	0%	10
78.1%	21.9%	0%	11
78.1%	21.9%	0%	12
78.1%	21.9%	0%	13
78.1%	21.8%	0%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample55.0ms (0.9%)

Algorithm

1×

intervals

Results

28.0ms	60×	body	2048	valid
6.0ms	54×	body	512	valid
6.0ms	31×	body	1024	valid
3.0ms	84×	body	128	valid
2.0ms	25×	body	256	valid
1.0ms	2×	body	4096	valid

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	366	12
1	366	12

prune2.0ms (0%)

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

28.5b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.8b	(-.f64 1 (cos.f64 x))
14.9b	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))

rewrite75.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

Rules

14×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`times-frac_binary64_84` `difference-of-squares_binary64_47` `associate-/l*_binary64_23`
5×	`add-cube-cbrt_binary64_113`
4×	`add-log-exp_binary64_117`
3×	`distribute-lft-out--_binary64_30` `cancel-sign-sub-inv_binary64_44`
2×	`pow1_binary64_139` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `flip3--_binary64_82` `associate-/l/_binary64_25` `flip--_binary64_53`
1×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

2 → 47

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
4.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 708 to 357 computations (49.6% saved)

series94.0ms (1.5%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

57.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))
26.0ms	(-.f64 1 (cos.f64 x))

Compiler

Compiled 320 to 251 computations (21.6% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6299	811

prune66.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	49	10	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	10	60

Error

0.0b

Counts

60 → 10

Compiler

Compiled 891 to 494 computations (44.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
0.3b	(*.f64 (sin.f64 x) (sin.f64 x))
0.5b	(+.f64 1 (cos.f64 x))
14.7b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))

rewrite165.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
24×	`*-un-lft-identity_binary64_78`
22×	`times-frac_binary64_84`
16×	`add-sqr-sqrt_binary64_100`
14×	`add-cube-cbrt_binary64_113`
12×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
11×	`pow1_binary64_139` `associate-/l*_binary64_23`
7×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`add-log-exp_binary64_117` `associate-/r/_binary64_24`
5×	`distribute-lft-out_binary64_29` `associate-/r*_binary64_22`
4×	`div-inv_binary64_75` `flip3-+_binary64_81` `flip-+_binary64_52`
3×	`sqr-sin-a_binary64_226` `div-sub_binary64_83` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `sin-mult_binary64_233`
1×	`sum-log_binary64_169` `+-commutative_binary64_8` `pow2_binary64_159` `pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-plus_binary64_141` `pow-sqr_binary64_51` `unswap-sqr_binary64_46` `*-commutative_binary64_9`

Counts

4 → 111

Calls

4 calls:

14.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
8.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
5.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
4.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 2503 to 957 computations (61.8% saved)

series289.0ms (4.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

120.0ms	(/.f64 (/.f64 (.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (.f64 x x))
88.0ms	(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
40.0ms	(*.f64 (sin.f64 x) (sin.f64 x))
19.0ms	(+.f64 1 (cos.f64 x))

Compiler

Compiled 870 to 613 computations (29.5% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4936	1964
1	4936	1964

prune141.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	138	7	145

Error

Counts

145 → 7

Compiler

Compiled 2357 to 1194 computations (49.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 x) x)
0.1b	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
0.1b	(/.f64 (tan.f64 (/.f64 x 2)) x)

rewrite141.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_100`
40×	`times-frac_binary64_84`
33×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
13×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l_binary64_23` `associate-/r_binary64_22`
5×	`pow1_binary64_139`
4×	`div-inv_binary64_75` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
3×	`add-log-exp_binary64_117`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`tan-quot_binary64_237` `associate-/l/_binary64_25` `pow-prod-down_binary64_149` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9`

Counts

3 → 105

Calls

3 calls:

12.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
4.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
4.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 2058 to 1010 computations (50.9% saved)

series290.0ms (4.7%)

Error

Counts

3 → 18

Calls

3 calls:

128.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x))
101.0ms	(/.f64 (tan.f64 (/.f64 x 2)) x)
45.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 594 to 457 computations (23.1% saved)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4967	2070
1	4967	2070

prune125.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Error

Counts

130 → 7

Compiler

Compiled 2169 to 1147 computations (47.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sin.f64 x) x)
0.1b	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (/.f64 x (tan.f64 (/.f64 x 2)))))
0.1b	(/.f64 x (tan.f64 (/.f64 x 2)))
0.2b	(/.f64 1 (/.f64 x (tan.f64 (/.f64 x 2))))

rewrite398.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

191×	`times-frac_binary64_84`
139×	`add-sqr-sqrt_binary64_100`
110×	`*-un-lft-identity_binary64_78`
106×	`add-cube-cbrt_binary64_113`
64×	`add-exp-log_binary64_116`
47×	`associate-r_binary64_18`
34×	`add-cbrt-cube_binary64_114`
30×	`div-exp_binary64_129`
20×	`associate-/r*_binary64_22`
14×	`cbrt-undiv_binary64_112` `prod-exp_binary64_127`
13×	`associate-l_binary64_19`
12×	`div-inv_binary64_75`
10×	`associate-/r/_binary64_24` `unswap-sqr_binary64_46`
9×	`associate-/l*_binary64_23`
8×	`tan-quot_binary64_237`
7×	`pow1_binary64_139`
6×	`1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-unprod_binary64_111`
4×	`add-log-exp_binary64_117`
3×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `pow-prod-down_binary64_149` `frac-times_binary64_88` `un-div-inv_binary64_76` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9`

Counts

4 → 238

Calls

4 calls:

27.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (/.f64 x (tan.f64 (/.f64 x 2)))))
10.0ms	(/.f64 1 (/.f64 x (tan.f64 (/.f64 x 2))))
5.0ms	(/.f64 x (tan.f64 (/.f64 x 2)))
4.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 5629 to 3391 computations (39.8% saved)

series416.0ms (6.7%)

Error

Counts

4 → 24

Calls

4 calls:

126.0ms	(/.f64 x (tan.f64 (/.f64 x 2)))
124.0ms	(*.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (/.f64 x (tan.f64 (/.f64 x 2)))))
99.0ms	(/.f64 1 (/.f64 x (tan.f64 (/.f64 x 2))))
45.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 866 to 667 computations (23% saved)

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4957	5030
1	4957	5030

prune306.0ms (4.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	262	0	262
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	262	7	269

Error

Counts

269 → 7

Compiler

Compiled 5172 to 3002 computations (42% saved)

regimes210.0ms (3.4%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 2083 to 1453 computations (30.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	10	17

end0.0ms (0%)

sample2.7s (43%)

Algorithm

1×

intervals

Results

892.0ms	1997×	body	2048	valid
225.0ms	1110×	body	1024	valid
186.0ms	1504×	body	512	valid
106.0ms	2583×	body	128	valid
59.0ms	704×	body	256	valid
41.0ms	102×	body	4096	valid

Compiler

Compiled 987 to 691 computations (30% saved)

Details

analyze387.0ms (6.2%)

sample55.0ms (0.9%)

simplify20.0ms (0.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite75.0ms (1.2%)

series94.0ms (1.5%)

simplify60.0ms (1%)

prune66.0ms (1.1%)

localize9.0ms (0.2%)

rewrite165.0ms (2.7%)

series289.0ms (4.6%)

simplify81.0ms (1.3%)

prune141.0ms (2.3%)

localize8.0ms (0.1%)

rewrite141.0ms (2.3%)

series290.0ms (4.7%)

simplify93.0ms (1.5%)

prune125.0ms (2%)

localize10.0ms (0.2%)

rewrite398.0ms (6.4%)

series416.0ms (6.7%)

simplify101.0ms (1.6%)

prune306.0ms (4.9%)

regimes210.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (43%)

Profiling