Details

analyze1.3s (0.8%)

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%	96.6%	3.4%	6
0%	96.6%	3.4%	7
0%	95%	5%	8
0%	85.7%	14.3%	9
0%	64.3%	35.7%	10
0%	64.3%	35.7%	11
0.5%	49.2%	50.3%	12
0.7%	49%	50.3%	13
1%	47.6%	51.4%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample5.5s (3.7%)

Results

3.9s	22297×	body	128	invalid
1.5s	8256×	body	128	valid

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify52.0ms (0%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/l/_binary64`
552×	`associate-/r/_binary64`
488×	`associate-*l/_binary64`
352×	`associate-*r/_binary64`
345×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	37	26
2	78	24
3	186	24
4	517	24
5	1664	24
6	4362	24
7	4750	24
8	5045	24

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	25.4b	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
▶	2.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

Compiler

Compiled 132 to 90 computations (31.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
✓	0.2b	(*.f64 y (log.f64 z))
✓	0.9b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
✓	1.9b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

series2.1s (1.4%)

Counts

4 → 176

Calls

4 calls:

1.2s	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
619.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
210.0ms	(*.f64 y (log.f64 z))
71.0ms	(*.f64 (-.f64 t 1) (log.f64 a))

rewrite35.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
14×	`exp-sum_binary64`
13×	`add-cbrt-cube_binary64`

Counts

4 → 116

Calls

4 calls:

10.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
6.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
3.0ms	(*.f64 y (log.f64 z))

simplify210.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-neg_binary64`
314×	`associate-r_binary64`
302×	`associate-l_binary64`
245×	`cancel-sign-sub-inv_binary64`
170×	`times-frac_binary64`

Counts

292 → 248

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	7243
1	895	6044
2	3341	5911
3	4549	5911
4	4999	5911
5	4924	5911

prune277.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	243	5	248
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	243	7	250

Error

0.0b

Counts

250 → 7

Alt Table

Status	Error	Program
▶	19.2b	(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
	30.9b	(/.f64 (.f64 x (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 3) (pow.f64 t 3))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 2) (.f64 t t))) (.f64 (+.f64 (.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))))) y)
	28.3b	(.f64 (sqrt.f64 (.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))) (sqrt.f64 (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) (/.f64 x y))))
	25.4b	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
✓	2.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
	19.5b	(/.f64 1 (/.f64 y (*.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) x)))
	19.3b	(*.f64 x (/.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))) y))

Compiler

Compiled 7456 to 3207 computations (57% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 a (+.f64 t -1))
✓	0.3b	(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
✓	1.0b	(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
✓	1.5b	(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))

series3.0s (2%)

Counts

4 → 192

Calls

4 calls:

1.4s	(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
1.3s	(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
191.0ms	(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
29.0ms	(pow.f64 a (+.f64 t -1))

rewrite1.1s (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9016×	`times-frac_binary64`
3564×	`*-un-lft-identity_binary64`
3563×	`add-sqr-sqrt_binary64`
3562×	`add-cube-cbrt_binary64`
1938×	`unpow-prod-down_binary64`

Counts

4 → 2797

Calls

4 calls:

96.0ms	(/.f64 x (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))
10.0ms	(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
6.0ms	(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
3.0ms	(pow.f64 a (+.f64 t -1))

simplify1.8s (1.2%)

Algorithm

1×	egg-herbie

Counts

2989 → 2835

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5443	161965

prune4.6s (3.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	2832	3	2835
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	2837	5	2842

Error

0.0b

Counts

2842 → 5

Alt Table

Status	Error	Program
	30.9b	(/.f64 (.f64 x (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 3) (pow.f64 t 3))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 2) (.f64 t t))) (.f64 (+.f64 (.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))))) y)
	25.4b	(/.f64 (/.f64 x (/.f64 y (pow.f64 z y))) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
▶	19.1b	(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))) (/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))))
	19.3b	(*.f64 x (/.f64 1 (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))
✓	2.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

Compiler

Compiled 115768 to 48744 computations (57.9% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
✓	0.5b	(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))) (/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))))
✓	1.0b	(/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))
	1.0b	(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))

series2.7s (1.8%)

Counts

2 → 144

Calls

2 calls:

1.4s

(/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))

1.3s

(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))) (/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))))

rewrite34.7s (23.1%)

Algorithm

1×	rewrite-expression-head

Rules

28711×	`times-frac_binary64`
15029×	`add-sqr-sqrt_binary64`
9708×	`*-un-lft-identity_binary64`
8796×	`add-cube-cbrt_binary64`
7629×	`sqrt-prod_binary64`

Counts

2 → 7206

Calls

2 calls:

29.7s

(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))) (/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))))

458.0ms

(/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))

simplify10.8s (7.2%)

Algorithm

1×	egg-herbie

Counts

7350 → 8724

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8147	523333

prune18.7s (12.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	9384	0	9384
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	9384	5	9389

Error

0.0b

Counts

9389 → 5

Alt Table

Status	Error	Program
	30.9b	(/.f64 (.f64 x (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 3) (pow.f64 t 3))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 2) (.f64 t t))) (.f64 (+.f64 (.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))))) y)
	25.4b	(/.f64 (/.f64 x (/.f64 y (pow.f64 z y))) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
✓	19.1b	(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))) (/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))))
▶	19.3b	(*.f64 x (/.f64 1 (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))
✓	2.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

Compiler

Compiled 601751 to 319466 computations (46.9% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(pow.f64 a (+.f64 t -1))
	0.3b	(/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))
	1.0b	(/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
✓	1.7b	(*.f64 x (/.f64 1 (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))

series1.3s (0.9%)

Counts

1 → 72

Calls

1 calls:

1.3s	(*.f64 x (/.f64 1 (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))

rewrite1.3s (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7005×	`times-frac_binary64`
2801×	`add-sqr-sqrt_binary64`
2689×	`*-un-lft-identity_binary64`
2675×	`add-cube-cbrt_binary64`
1829×	`associate-r_binary64`

Counts

1 → 1922

Calls

1 calls:

418.0ms

(*.f64 x (/.f64 1 (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))

simplify2.2s (1.5%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-/r/_binary64`
617×	`associate-*r/_binary64`
583×	`*-commutative_binary64`
230×	`associate-/l*_binary64`
225×	`remove-double-div_binary64`

Counts

1994 → 3315

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2263	60791
1	4520	60114
2	4950	60114
3	4973	60114

prune9.1s (6.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	3673	0	3673
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	3673	5	3678

Error

0.0b

Counts

3678 → 5

Alt Table

Status	Error	Program
	30.9b	(/.f64 (.f64 x (fma.f64 1/6 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 3) (pow.f64 t 3))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 z y) (.f64 a (exp.f64 b))) (.f64 (pow.f64 (log.f64 a) 2) (.f64 t t))) (.f64 (+.f64 (.f64 (log.f64 a) t) 1) (/.f64 (pow.f64 z y) (*.f64 a (exp.f64 b))))))) y)
	25.4b	(/.f64 (/.f64 x (/.f64 y (pow.f64 z y))) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))
✓	19.1b	(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))) (/.f64 x (/.f64 y (sqrt.f64 (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1))))))))
✓	19.3b	(*.f64 x (/.f64 1 (/.f64 y (/.f64 (pow.f64 z y) (/.f64 (exp.f64 b) (pow.f64 a (+.f64 t -1)))))))
✓	2.6b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

Compiler

Compiled 154998 to 73190 computations (52.8% saved)

regimes49.0s (32.7%)

Compiler: Compiled 951555 to 616785 computations (35.2% saved)

Details

analyze1.3s (0.8%)

sample5.5s (3.7%)

simplify52.0ms (0%)

prune4.0ms (0%)

localize14.0ms (0%)

series2.1s (1.4%)

rewrite35.0ms (0%)

simplify210.0ms (0.1%)

prune277.0ms (0.2%)

localize12.0ms (0%)

series3.0s (2%)

rewrite1.1s (0.7%)

simplify1.8s (1.2%)

prune4.6s (3.1%)

localize15.0ms (0%)

series2.7s (1.8%)

rewrite34.7s (23.1%)

simplify10.8s (7.2%)

prune18.7s (12.5%)

localize14.0ms (0%)

series1.3s (0.9%)

rewrite1.3s (0.9%)

simplify2.2s (1.5%)

prune9.1s (6.1%)

regimes49.0s (32.7%)

Profiling