Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample1.8s (74.2%)

Results

1.7s

8256×

body

256

valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

simplify23.0ms (1%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
377×	`sub-neg_binary64`
267×	`distribute-neg-in_binary64`
151×	`associate-+l-_binary64`
151×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	115	17
3	354	15
4	1273	7
5	3641	7

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.3b	(*.f64 t 1/25000000000000000000000000000000)

series4.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

2.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
2.0ms	(*.f64 t 1/25000000000000000000000000000000)

rewrite34.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`log1p-expm1-u_binary64`
414×	`expm1-log1p-u_binary64`
352×	`pow1_binary64`
308×	`unpow-prod-down_binary64`
239×	`log-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	102	11
2	1151	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

2 calls:

33.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
33.0ms	(*.f64 t 1/25000000000000000000000000000000)

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

605×	`sqr-pow_binary64`
441×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	105	132
5	315	132
6	1204	132
7	2080	132
8	2244	132
9	2428	132
10	2636	132
11	2925	132
12	3318	132
13	3796	132
14	4359	132

Stop Event

1×	node limit

Counts

64 → 43

prune24.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Error

Counts

44 → 5

Alt Table

Status	Error	Program
	2.2b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)
	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.7b	(cbrt.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6)))
▶	0.2b	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

Compiler

Compiled 442 to 348 computations (21.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
✓	0.3b	(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))

series5.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

3.0ms	(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))
2.0ms	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))

rewrite36.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
439×	`unpow-prod-down_binary64`
275×	`log-prod_binary64`
160×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	148	14
2	1558	14

Stop Event

1×	node limit

Counts

2 → 70

Calls

2 calls:

35.0ms	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
35.0ms	(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))

simplify70.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

607×	`sqr-pow_binary64`
445×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
281×	`cube-prod_binary64`
273×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2277	84
9	2461	84
10	2669	84
11	2960	84
12	3353	84
13	3833	84
14	4396	84

Stop Event

1×	node limit

Counts

82 → 71

prune37.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Status	Error	Program
▶	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.6b	(.f64 (.f64 t t) (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))
✓	0.2b	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

Compiler

Compiled 815 to 622 computations (23.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

series2.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

2.0ms

(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

rewrite27.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`log1p-expm1-u_binary64`
445×	`expm1-log1p-u_binary64`
271×	`unpow-prod-down_binary64`
222×	`log-prod_binary64`
135×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1282	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

1 calls:

27.0ms

(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

prune10.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Error

Counts

24 → 4

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.6b	(.f64 (.f64 t t) (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))
✓	0.2b	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
▶	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

Compiler

Compiled 212 to 162 computations (23.6% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 t 1/5000000000000000)
✓	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

series4.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

2.0ms	(pow.f64 (*.f64 t 1/5000000000000000) 2)
1.0ms	(*.f64 t 1/5000000000000000)

rewrite31.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log1p-expm1-u_binary64`
453×	`expm1-log1p-u_binary64`
314×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
136×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	126	11
2	1304	11

Stop Event

1×	node limit

Counts

2 → 60

Calls

2 calls:

30.0ms	(*.f64 t 1/5000000000000000)
30.0ms	(pow.f64 (*.f64 t 1/5000000000000000) 2)

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

628×	`sqr-pow_binary64`
502×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
285×	`cube-prod_binary64`
276×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	132
1	15	132
2	26	132
3	51	132
4	125	132
5	361	132
6	1340	132
7	2220	132
8	2384	132
9	2598	132
10	2818	132
11	3116	132
12	3518	132
13	4004	132
14	4563	132

Stop Event

1×	node limit

Counts

84 → 63

prune27.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	63	4	67

Error

Counts

67 → 4

Alt Table

Status	Error	Program
✓	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.6b	(.f64 (.f64 t t) (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))
✓	0.2b	(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
✓	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

Compiler

Compiled 620 to 480 computations (22.6% saved)

regimes47.0ms (2%)

Accuracy

Total 0.2b remaining (96.3%)

Threshold costs 0.2b (96.3%)

Counts

13 → 1

Compiler

Compiled 435 to 357 computations (17.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9

Stop Event

1×

saturated

end67.0ms (2.8%)

Compiler: Compiled 41 to 34 computations (17.1% saved)

Details

analyze1.0ms (0%)

sample1.8s (74.2%)

simplify23.0ms (1%)

prune3.0ms (0.1%)

localize9.0ms (0.4%)

series4.0ms (0.2%)

rewrite34.0ms (1.4%)

simplify63.0ms (2.6%)

prune24.0ms (1%)

localize7.0ms (0.3%)

series5.0ms (0.2%)

rewrite36.0ms (1.5%)

simplify70.0ms (2.9%)

prune37.0ms (1.5%)

localize3.0ms (0.1%)

series2.0ms (0.1%)

rewrite27.0ms (1.1%)

simplify9.0ms (0.4%)

prune10.0ms (0.4%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite31.0ms (1.3%)

simplify66.0ms (2.8%)

prune27.0ms (1.1%)

regimes47.0ms (2%)

simplify2.0ms (0.1%)

end67.0ms (2.8%)

Profiling