Details

sample87.0ms

Algorithm

intervals

Results

39.0ms

640×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))
5.7b	(* j (- (* c a) (* y i)))

rewrite97.0ms

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`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* y z) (* t a))
28.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* j (- (* c a) (* y i)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* y z) (* t a))
73.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* b (- (* c z) (* t i)))
74.0ms	(* j (- (* c a) (* y i)))

simplify59.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune423.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.7b

localize26.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.3b	(* (cbrt j) (- (* c a) (* y i)))
4.1b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

66.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
30.0ms	(* (cbrt j) (- (* c a) (* y i)))
28.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* b (- (* c z) (* t i)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
291.0ms	(* (cbrt j) (- (* c a) (* y i)))
75.0ms	(* x (- (* y z) (* t a)))
71.0ms	(* b (- (* c z) (* t i)))

simplify80.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	574	966
1	2600	762
2	5003	699

prune548.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.2b

localize23.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.8b	(* a (* j c))
5.4b	(* b (- (* c z) (* t i)))
5.6b	(* (- j) (* y i))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

28.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* a (* j c))
30.0ms	(* b (- (* c z) (* t i)))
20.0ms	(* (- j) (* y i))

series209.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* a (* j c))
76.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* (- j) (* y i))

simplify63.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	483	497
1	2033	427
2	5002	427

prune472.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 4.8b

localize24.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.8b	(* a (* j c))
5.4b	(* b (- (* c z) (* t i)))
6.1b	(* i (* j y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

28.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* a (* j c))
30.0ms	(* b (- (* c z) (* t i)))
16.0ms	(* i (* j y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* a (* j c))
76.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* i (* j y))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	437	454
1	1780	384
2	5001	384

prune366.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.5b

regimes1.3s

Accuracy

0.8% (6.6b remaining)

Error of 12.2b against oracle of 5.6b and baseline of 12.2b

bsearch301.0ms

Steps

Iters	Range	Point
9	1.582831735829483e-61	1.4121251105398643e-56	2.7018534724162223e-61
7	-3.237774890433742e-287	-6.378148995057743e-289	-6.4691962414602245e-289
9	-2.9627859180506343e-181	-6.538597364832871e-187	-8.311437424410603e-187

Iters

Range

Point

1.582831735829483e-61

1.4121251105398643e-56

2.7018534724162223e-61

-3.237774890433742e-287

-6.378148995057743e-289

-6.4691962414602245e-289

-2.9627859180506343e-181

-6.538597364832871e-187

-8.311437424410603e-187

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	64
1	100	64
2	130	64
3	130	64

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19027×

body

valid