Details

analyze2.1s (7.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample136.0ms (0.5%)

Algorithm

1×

intervals

Results

28.0ms	45×	body	1024	valid
22.0ms	152×	body	128	valid
18.0ms	20×	body	2048	valid
12.0ms	26×	body	512	valid
11.0ms	76×	body	128	nan
4.0ms	13×	body	256	valid
4.0ms	29×	body	128	invalid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify243.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	757	29
1	757	29

prune6.0ms (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

21.3b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(/.f64 a (*.f64 b 3))
0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
24.5b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite320.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

19.7b

Rules

19×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
11×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
9×	`times-frac_binary64_17134` `pow1_binary64_17189`
8×	`cos-sum_binary64_17262`
7×	`cancel-sign-sub-inv_binary64_17094`
5×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
4×	`add-log-exp_binary64_17167` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `associate-/l_binary64_17073` `associate-/r_binary64_17072`
3×	`cos-diff_binary64_17265` `div-inv_binary64_17125` `pow-prod-down_binary64_17199` `associate-r_binary64_17068`
2×	`frac-2neg_binary64_17139` `clear-num_binary64_17127`
1×	`sub-neg_binary64_17121` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077` `associate-l_binary64_17069` `*-commutative_binary64_17059`

Counts

4 → 78

Calls

4 calls:

16.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
15.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
8.0ms	(/.f64 (*.f64 z t) 3)
7.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2173 to 1334 computations (38.6% saved)

series934.0ms (3.5%)

Error

14.6b

Counts

4 → 45

Calls

4 calls:

452.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
193.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
100.0ms	(/.f64 a (*.f64 b 3))
96.0ms	(/.f64 (*.f64 z t) 3)

Compiler

Compiled 2890 to 2315 computations (19.9% saved)

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4932	1991
1	4932	1991

prune371.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	103	20	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	20	124

Error

13.9b

Counts

124 → 20

Compiler

Compiled 3360 to 2150 computations (36% saved)

localize25.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 a (*.f64 b 3))

rewrite179.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.9b

Rules

13×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
8×	`pow1_binary64_17189` `add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
7×	`cancel-sign-sub-inv_binary64_17094`
6×	`times-frac_binary64_17134`
5×	`add-log-exp_binary64_17167`
4×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
3×	`associate-/l_binary64_17073` `pow-prod-down_binary64_17199` `associate-r*_binary64_17068`
2×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `div-inv_binary64_17125`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/r_binary64_17072` `associate-l_binary64_17069` `-commutative_binary64_17059` `diff-log_binary64_17220` `flip3--_binary64_17132` `sub-neg_binary64_17121` `flip--_binary64_17103`

Counts

3 → 57

Calls

3 calls:

17.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
12.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
8.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1174 to 678 computations (42.2% saved)

series858.0ms (3.2%)

Error

13.7b

Counts

3 → 32

Calls

3 calls:

570.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
134.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
104.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1123 to 1034 computations (7.9% saved)

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4915	1209
1	4915	1209

prune217.0ms (0.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	86	23	109

Error

13.7b

Counts

109 → 23

Compiler

Compiled 1911 to 1194 computations (37.5% saved)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.3b	(*.f64 (/.f64 1 b) (/.f64 a 3))

rewrite231.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

13.7b

Rules

35×	`add-sqr-sqrt_binary64_17150`
30×	`add-exp-log_binary64_17166`
25×	`times-frac_binary64_17134`
20×	`add-cbrt-cube_binary64_17164` `*-un-lft-identity_binary64_17128`
18×	`add-cube-cbrt_binary64_17163`
16×	`associate-r_binary64_17068`
14×	`associate-l_binary64_17069`
11×	`prod-exp_binary64_17177`
10×	`pow1_binary64_17189`
8×	`div-exp_binary64_17179`
7×	`cbrt-unprod_binary64_17161`
6×	`unswap-sqr_binary64_17096`
5×	`add-log-exp_binary64_17167`
4×	`pow-prod-down_binary64_17199` `cbrt-undiv_binary64_17162`
2×	`1-exp_binary64_17172` `rec-exp_binary64_17178` `div-inv_binary64_17125` `*-commutative_binary64_17059`
1×	`frac-times_binary64_17138` `associate-l/_binary64_17071` `associate-r/_binary64_17070` `diff-log_binary64_17220` `flip3--_binary64_17132` `sub-neg_binary64_17121` `flip--_binary64_17103` `cancel-sign-sub-inv_binary64_17094`

Counts

3 → 86

Calls

3 calls:

20.0ms	(*.f64 (/.f64 1 b) (/.f64 a 3))
12.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
11.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

Compiler

Compiled 2020 to 1285 computations (36.4% saved)

series856.0ms (3.2%)

Error

13.7b

Counts

3 → 32

Calls

3 calls:

570.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
130.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
117.0ms	(*.f64 (/.f64 1 b) (/.f64 a 3))

Compiler

Compiled 1163 to 1074 computations (7.7% saved)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4966	1607
1	4966	1607

prune261.0ms (1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	117	24	141

Error

13.7b

Counts

141 → 24

Compiler

Compiled 2613 to 1645 computations (37% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 1/3 a) b))
0.2b	(/.f64 (*.f64 1/3 a) b)
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.3b	(*.f64 1/3 a)

rewrite192.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.7b

Rules

16×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
13×	`add-sqr-sqrt_binary64_17150`
11×	`pow1_binary64_17189` `add-cube-cbrt_binary64_17163` `*-un-lft-identity_binary64_17128`
7×	`cancel-sign-sub-inv_binary64_17094`
6×	`add-log-exp_binary64_17167` `associate-r_binary64_17068` `times-frac_binary64_17134`
5×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
4×	`pow-prod-down_binary64_17199` `associate-l_binary64_17069`
3×	`associate-/r*_binary64_17072`
2×	`*-commutative_binary64_17059` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `div-inv_binary64_17125`
1×	`unswap-sqr_binary64_17096` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l*_binary64_17073` `diff-log_binary64_17220` `flip3--_binary64_17132` `sub-neg_binary64_17121` `flip--_binary64_17103`

Counts

4 → 75

Calls

4 calls:

18.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 1/3 a) b))
12.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
12.0ms	(/.f64 (*.f64 1/3 a) b)
8.0ms	(*.f64 1/3 a)

Compiler

Compiled 1490 to 867 computations (41.8% saved)

series877.0ms (3.3%)

Error

13.7b

Counts

4 → 35

Calls

4 calls:

567.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (*.f64 1/3 a) b))
132.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
96.0ms	(/.f64 (*.f64 1/3 a) b)
37.0ms	(*.f64 1/3 a)

Compiler

Compiled 1240 to 1145 computations (7.7% saved)

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4900	1340
1	4900	1340

prune156.0ms (0.6%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	21	22
Picked	0	1	1
Done	0	1	1
Total	110	24	134

Error

13.7b

Counts

134 → 24

Compiler

Compiled 1690 to 876 computations (48.2% saved)

regimes8.1s (30.6%)

Accuracy

Total 2.7b remaining (15.6%)

Threshold costs 0b (0%)

Compiler

Compiled 52515 to 48801 computations (7.1% saved)

bsearch214.0ms (0.8%)

Steps

Iters	Range		Point
9	3.488481360034464e+281	3.690800791552113e+287	3.6312880224776764e+287
7	-1.000895820359784e+304	-4.2858794355358144e+301	-9.841278127820592e+303

Compiler

Compiled 7 to 10 computations (-42.9% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	111	89
1	111	89

end0.0ms (0%)

sample9.6s (36.3%)

Algorithm

1×

intervals

Results

1.0s	1594×	body	1024	valid
657.0ms	4627×	body	128	valid
634.0ms	717×	body	2048	valid
627.0ms	2217×	body	128	nan
333.0ms	712×	body	512	valid
154.0ms	1135×	body	128	invalid
107.0ms	350×	body	256	valid

Compiler

Compiled 2984 to 2753 computations (7.7% saved)

Details

analyze2.1s (7.7%)

sample136.0ms (0.5%)

simplify243.0ms (0.9%)

prune6.0ms (0%)

localize31.0ms (0.1%)

rewrite320.0ms (1.2%)

series934.0ms (3.5%)

simplify141.0ms (0.5%)

prune371.0ms (1.4%)

localize25.0ms (0.1%)

rewrite179.0ms (0.7%)

series858.0ms (3.2%)

simplify158.0ms (0.6%)

prune217.0ms (0.8%)

localize23.0ms (0.1%)

rewrite231.0ms (0.9%)

series856.0ms (3.2%)

simplify135.0ms (0.5%)

prune261.0ms (1%)

localize23.0ms (0.1%)

rewrite192.0ms (0.7%)

series877.0ms (3.3%)

simplify141.0ms (0.5%)

prune156.0ms (0.6%)

regimes8.1s (30.6%)

bsearch214.0ms (0.8%)

simplify7.0ms (0%)

end0.0ms (0%)

sample9.6s (36.3%)

Profiling