Details

sample79.0ms

Algorithm

intervals

Results

43.0ms

629×

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
4.8b	(* x (- (* y z) (* t a)))
6.3b	(* j (- (* c t) (* i y)))
6.8b	(* b (- (* c z) (* i a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

11.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
9.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

417.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
63.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* b (- (* c z) (* i a)))

simplify90.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	685	1032
1	3153	951
2	5002	947

prune558.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
6.3b	(* j (- (* c t) (* i y)))
6.8b	(* (fma c z (- (* a i))) b)
52.5b	(fma (- a) i (* a i))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* (fma c z (- (* a i))) b)
0.0ms	(fma (- a) i (* a i))

series223.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (- (* y z) (* t a)))
66.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* (fma c z (- (* a i))) b)
26.0ms	(fma (- a) i (* a i))

simplify50.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	402	552
1	1570	483
2	5002	483

prune508.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize35.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
4.8b	(* x (- (* y z) (* t a)))
6.8b	(* (fma c z (- (* a i))) b)
52.5b	(fma (- a) i (* a i))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

25.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
9.0ms	(* x (- (* y z) (* t a)))
3.0ms	(* (fma c z (- (* a i))) b)
0.0ms	(fma (- a) i (* a i))

series263.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
67.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* (fma c z (- (* a i))) b)
27.0ms	(fma (- a) i (* a i))

simplify61.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	536	888
1	1978	666
2	5003	599

prune523.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize29.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
6.6b	(* (- j) (* i y))
6.8b	(* (fma c z (- (* a i))) b)
52.5b	(fma (- a) i (* a i))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-l`
15×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `*-commutative`
2×	`sub-neg` `associate-*r/` `prod-diff` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `flip3--` `flip--` `fma-udef`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* x (- (* y z) (* t a)))
11.0ms	(* (- j) (* i y))
3.0ms	(* (fma c z (- (* a i))) b)
0.0ms	(fma (- a) i (* a i))

series190.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* (- j) (* i y))
69.0ms	(* (fma c z (- (* a i))) b)
26.0ms	(fma (- a) i (* a i))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	388	488
1	1523	425
2	5001	424

prune471.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.6b

regimes898.0ms

Accuracy

21.4% (7.9b remaining)

Error of 10.3b against oracle of 2.4b and baseline of 12.4b

bsearch234.0ms

Steps

Iters	Range		Point
9	7.453346283125892e-47	1.7138232721307244e-40	9.356161473125318e-41
9	-3.105896876763685e+40	-1.7537410316774462e+31	-1.9093385244904942e+32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	33
1	83	33
2	89	33
3	89	33

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19117×

body

valid