Details

sample135.0ms

Algorithm

intervals

Results

94.0ms

644×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* y z) (* t a))
3.8b	(* j (- (* c a) (* y i)))
4.9b	(* b (- (* c z) (* t i)))
7.4b	(* x (- (* y z) (* t a)))

rewrite38.0ms

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

series265.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
74.0ms	(* j (- (* c a) (* y i)))
75.0ms	(* b (- (* c z) (* t i)))
75.0ms	(* x (- (* y z) (* t a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	476	643
1	1969	572
2	5001	572

prune549.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.4b

localize32.0ms

Local error

Found 4 expressions with local error:

3.8b	(* j (- (* c a) (* y i)))
4.9b	(* b (- (* c z) (* t i)))
7.4b	(* x (- (* y z) (* t a)))
50.9b	(fma (- i) y (* i y))

rewrite35.0ms

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:

11.0ms	(* j (- (* c a) (* y i)))
11.0ms	(* b (- (* c z) (* t i)))
11.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- i) y (* i y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* j (- (* c a) (* y i)))
76.0ms	(* b (- (* c z) (* t i)))
77.0ms	(* x (- (* y z) (* t a)))
28.0ms	(fma (- i) y (* i y))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	456	602
1	1902	532
2	5002	532

prune607.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.4b

localize32.0ms

Local error

Found 4 expressions with local error:

4.9b	(* b (- (* c z) (* t i)))
7.4b	(* x (fma y z (- (* a t))))
49.5b	(fma (- a) t (* a t))
50.9b	(fma (- i) y (* i y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

11.0ms	(* b (- (* c z) (* t i)))
3.0ms	(* x (fma y z (- (* a t))))
0.0ms	(fma (- a) t (* a t))
0.0ms	(fma (- i) y (* i y))

series211.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* b (- (* c z) (* t i)))
80.0ms	(* x (fma y z (- (* a t))))
32.0ms	(fma (- a) t (* a t))
29.0ms	(fma (- i) y (* i y))

simplify118.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	283	428
1	1109	373
2	4534	373
3	5001	373

prune585.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.4b

localize37.0ms

Local error

Found 4 expressions with local error:

7.4b	(* x (fma y z (- (* a t))))
49.5b	(fma (- a) t (* a t))
49.5b	(fma (- i) t (* i t))
50.9b	(fma (- i) y (* i y))

rewrite6.0ms

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 (- i) t (* i t))
0.0ms	(fma (- i) y (* i y))

series165.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (fma y z (- (* a t))))
27.0ms	(fma (- a) t (* a t))
26.0ms	(fma (- i) t (* i t))
33.0ms	(fma (- i) y (* i y))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (60.0ms)

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

prune433.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.4b

regimes1.4s

Accuracy

-4.8% (3.8b remaining)

Error of 11.9b against oracle of 8.0b and baseline of 11.7b

bsearch300.0ms

Steps

Iters	Range		Point
8	4.7560568045647955e-178	7.12581521285638e-175	1.7474383666639108e-175
9	-7.631406994962456e-137	-2.0487105606360212e-143	-9.604262379034084e-142

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	40
1	69	40
2	69	40

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.7s

18904×

body

valid