Details

sample120.0ms

Algorithm

intervals

Results

76.0ms

633×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
5.7b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))
6.3b	(* x (- (* y z) (* t a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* y z) (* t a))
22.0ms	(* j (- (* c t) (* i y)))
22.0ms	(* b (- (* c z) (* i a)))
22.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	478	643
1	1976	572
2	5001	572

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.7b	(* j (- (* c t) (* i y)))
5.7b	(* b (- (* c z) (* i a)))
6.3b	(* x (- (* y z) (* t a)))
50.4b	(fma (- a) i (* a i))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
6×	`sub-neg` `associate-*r/` `prod-diff`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 94

Calls

4 calls:

10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- a) i (* a i))

series73.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* j (- (* c t) (* i y)))
22.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* x (- (* y z) (* t a)))
6.0ms	(fma (- a) i (* a i))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	458	602
1	1909	532
2	5002	532

prune1.8s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.0b

localize32.0ms

Local error

Found 4 expressions with local error:

5.7b	(* b (- (* c z) (* i a)))
6.3b	(* x (- (* y z) (* t a)))
50.4b	(fma (- a) i (* a i))
51.1b	(fma (- y) i (* y i))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- a) i (* a i))
0.0ms	(fma (- y) i (* y i))

series57.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* x (- (* y z) (* t a)))
6.0ms	(fma (- a) i (* a i))
6.0ms	(fma (- y) i (* y i))

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	335	468
1	1347	412
2	5001	412

prune1.8s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.0b

localize43.0ms

Local error

Found 4 expressions with local error:

6.3b	(* x (fma y z (- (* a t))))
50.0b	(fma (- a) t (* a t))
50.4b	(fma (- a) i (* a i))
51.1b	(fma (- y) i (* y i))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 52

Calls

4 calls:

3.0ms	(* x (fma y z (- (* a t))))
0.0ms	(fma (- a) t (* a t))
0.0ms	(fma (- a) i (* a i))
0.0ms	(fma (- y) i (* y i))

series44.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* x (fma y z (- (* a t))))
6.0ms	(fma (- a) t (* a t))
6.0ms	(fma (- a) i (* a i))
6.0ms	(fma (- y) i (* y i))

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	150	294
1	521	253
2	2138	253
3	5001	229

prune1.3s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 10.0b

regimes3.8s

Accuracy

-8% (3.9b remaining)

Error of 12.7b against oracle of 8.7b and baseline of 12.4b

bsearch145.0ms

Steps

Iters	Range		Point
9	9.02164274379965e-157	4.4796450041411847e-150	1.1177337282084136e-156
7	-5.931477581187726e-127	-6.65620034558655e-129	-6.801651139304191e-129

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	62
1	85	62
2	96	62
3	96	62

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.3s

19253×

body

valid