Details

analyze2.9s (14.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	496
1	4965	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14
7%	92.7%	0.3%	14

Compiler

Compiled 44 to 34 computations (22.7% saved)

sample189.0ms (1%)

Algorithm

2×

intervals

Results

27.0ms

512×

body

128

valid

Compiler

Compiled 5697 to 5950 computations (-4.4% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5141	31

prune3.0ms (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

26.9b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
1.5b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
1.9b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
25.2b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite177.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

38×	`*-un-lft-identity_binary64_23266`
18×	`add-sqr-sqrt_binary64_23288`
16×	`add-cube-cbrt_binary64_23301`
15×	`times-frac_binary64_23272`
13×	`distribute-lft-out_binary64_23217`
11×	`add-log-exp_binary64_23305`
10×	`associate-*l/_binary64_23209`
8×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
7×	`flip3-+_binary64_23269` `flip-+_binary64_23240`
6×	`pow1_binary64_23327`
5×	`associate-/r*_binary64_23210`
4×	`frac-add_binary64_23274` `associate-l_binary64_23207`
3×	`associate-/l_binary64_23211` `associate-r*_binary64_23206`
2×	`flip3--_binary64_23270` `associate-/l/_binary64_23213` `flip--_binary64_23241` `associate-/r/_binary64_23212` `sum-log_binary64_23357` `diff-log_binary64_23358`
1×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `frac-2neg_binary64_23277` `div-sub_binary64_23271` `clear-num_binary64_23265` `div-inv_binary64_23263` `+-commutative_binary64_23196` `sub-neg_binary64_23259` `cancel-sign-sub-inv_binary64_23232` `associate--l+_binary64_23203` `pow-prod-down_binary64_23337` `prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `unswap-sqr_binary64_23234` `*-commutative_binary64_23197`

Counts

4 → 90

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
10.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
6.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 3256 to 447 computations (86.3% saved)

series2.7s (14%)

Error

6.6b

Counts

4 → 125

Calls

4 calls:

1.3s	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
674.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
431.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
121.0ms	(*.f64 (+.f64 x y) z)

Compiler

Compiled 10310 to 5086 computations (50.7% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5018	7354

prune267.0ms (1.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	202	13	215
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	13	216

Error

6.5b

Counts

216 → 13

Compiler

Compiled 7024 to 1111 computations (84.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.6b	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
8.0b	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.9b	(/.f64 (*.f64 a t) (+.f64 y (+.f64 t x)))
9.4b	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))

rewrite226.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

52×	`*-un-lft-identity_binary64_23266`
24×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `distribute-lft-out_binary64_23217`
20×	`times-frac_binary64_23272` `associate-/r*_binary64_23210`
12×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
8×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `associate-/r/_binary64_23212`
4×	`pow1_binary64_23327` `prod-exp_binary64_23315` `add-log-exp_binary64_23305` `cbrt-unprod_binary64_23299` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `div-inv_binary64_23263` `flip3-+_binary64_23269` `flip-+_binary64_23240` `associate-/l*_binary64_23211`

Counts

4 → 108

Calls

4 calls:

12.0ms	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 a t) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))

Compiler

Compiled 6136 to 681 computations (88.9% saved)

series1.6s (8%)

Error

6.5b

Counts

4 → 96

Calls

4 calls:

361.0ms	(/.f64 (*.f64 a t) (+.f64 y (+.f64 t x)))
352.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
347.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
344.0ms	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))

Compiler

Compiled 15113 to 6002 computations (60.3% saved)

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4984	4304
1	4984	4304

prune325.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	198	6	204
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	205	12	217

Error

2.0b

Counts

217 → 12

Compiler

Compiled 11898 to 1280 computations (89.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.9b	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))
7.6b	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
8.0b	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
9.4b	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))

rewrite214.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

52×	`*-un-lft-identity_binary64_23266`
24×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `distribute-lft-out_binary64_23217`
20×	`times-frac_binary64_23272` `associate-/r*_binary64_23210`
12×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
8×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `associate-/r/_binary64_23212`
4×	`pow1_binary64_23327` `prod-exp_binary64_23315` `add-log-exp_binary64_23305` `cbrt-unprod_binary64_23299` `frac-2neg_binary64_23277` `clear-num_binary64_23265` `div-inv_binary64_23263` `flip3-+_binary64_23269` `flip-+_binary64_23240` `associate-/l*_binary64_23211`

Counts

4 → 108

Calls

4 calls:

11.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

Compiler

Compiled 6136 to 623 computations (89.8% saved)

series1.5s (7.9%)

Error

2.0b

Counts

4 → 92

Calls

4 calls:

376.0ms	(/.f64 (*.f64 z x) (+.f64 y (+.f64 t x)))
360.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
354.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
295.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

Compiler

Compiled 14357 to 5560 computations (61.3% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5317	4111

prune319.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	202	10	212

Error

0.7b

Counts

212 → 10

Compiler

Compiled 11526 to 1082 computations (90.6% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(/.f64 z (/.f64 (+.f64 y (+.f64 t x)) x))
5.9b	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))
8.0b	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
9.4b	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))

rewrite324.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

156×	`*-un-lft-identity_binary64_23266`
132×	`times-frac_binary64_23272`
66×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288`
54×	`distribute-lft-out_binary64_23217`
34×	`associate-/r*_binary64_23210`
24×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
9×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300`
8×	`div-inv_binary64_23263`
7×	`associate-/r/_binary64_23212`
6×	`associate-/l*_binary64_23211`
4×	`pow1_binary64_23327` `add-log-exp_binary64_23305` `frac-2neg_binary64_23277` `clear-num_binary64_23265`
3×	`prod-exp_binary64_23315` `cbrt-unprod_binary64_23299` `flip3-+_binary64_23269` `flip-+_binary64_23240`

Counts

4 → 175

Calls

4 calls:

11.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
10.0ms	(/.f64 z (/.f64 (+.f64 y (+.f64 t x)) x))
9.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
8.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

Compiler

Compiled 10327 to 1126 computations (89.1% saved)

series1.5s (7.7%)

Error

0.7b

Counts

4 → 92

Calls

4 calls:

363.0ms	(/.f64 z (/.f64 (+.f64 y (+.f64 t x)) x))
348.0ms	(/.f64 (*.f64 y z) (+.f64 y (+.f64 t x)))
334.0ms	(/.f64 (*.f64 y b) (+.f64 y (+.f64 t x)))
297.0ms	(/.f64 (*.f64 a y) (+.f64 y (+.f64 t x)))

Compiler

Compiled 14357 to 5560 computations (61.3% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4983	5989
1	4983	5989

prune384.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	267	10	277

Error

0.7b

Counts

277 → 10

Compiler

Compiled 15253 to 1183 computations (92.2% saved)

regimes3.1s (16.1%)

Accuracy

Total 6.5b remaining (85.1%)

Threshold costs 0b (0%)

Compiler

Compiled 35795 to 18069 computations (49.5% saved)

bsearch142.0ms (0.7%)

Steps

Iters	Range		Point
8	4.890334579186393e+41	1.8072447310526808e+46	1.7733936525202268e+46
8	-7.419174703087263e+96	-1.4564149111278685e+94	-1.7214341601461616e+96
9	-1.5223606502229882e+138	-1.144840186445777e+131	-3.539568470212589e+134
10	-2.5929384972970832e+200	-9.688007356841698e+181	-9.886517996672513e+181

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	102	186
1	102	186

end0.0ms (0%)

sample3.0s (15.3%)

Algorithm

1×

intervals

Results

431.0ms	7997×	body	128	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 5296 to 2643 computations (50.1% saved)

Details

analyze2.9s (14.9%)

sample189.0ms (1%)

simplify88.0ms (0.5%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite177.0ms (0.9%)

series2.7s (14%)

simplify91.0ms (0.5%)

prune267.0ms (1.4%)

localize21.0ms (0.1%)

rewrite226.0ms (1.2%)

series1.6s (8%)

simplify86.0ms (0.4%)

prune325.0ms (1.7%)

localize21.0ms (0.1%)

rewrite214.0ms (1.1%)

series1.5s (7.9%)

simplify67.0ms (0.3%)

prune319.0ms (1.7%)

localize21.0ms (0.1%)

rewrite324.0ms (1.7%)

series1.5s (7.7%)

simplify92.0ms (0.5%)

prune384.0ms (2%)

regimes3.1s (16.1%)

bsearch142.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.0s (15.3%)

Profiling