Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

623×

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 10.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
3.9b	(* b (- (* c z) (* i a)))
4.9b	(* j (- (* c t) (* i y)))
6.1b	(* x (- (* y z) (* t a)))

rewrite24.0ms

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:

3.0ms	(- (* y z) (* t a))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* x (- (* y z) (* t a)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* y z) (* t a))
75.0ms	(* b (- (* c z) (* i a)))
76.0ms	(* j (- (* c t) (* i y)))
77.0ms	(* x (- (* y z) (* t a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune417.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 7.8b

Counts

97 → 20

localize23.0ms

Local error

Found 4 expressions with local error:

3.9b	(* b (- (* c z) (* i a)))
5.6b	(* j (* c t))
5.8b	(* j (- (* i y)))
6.1b	(* x (- (* y z) (* t a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* j (* c t))
5.0ms	(* j (- (* i y)))
6.0ms	(* x (- (* y z) (* t a)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* j (* c t))
34.0ms	(* j (- (* i y)))
76.0ms	(* x (- (* y z) (* t a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	445	484
1	2071	419
2	5002	419

prune416.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	100	20	120

Merged error: 5.7b

Counts

120 → 20

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(* b (- (* c z) (* i a)))
5.3b	(* (* j (- i)) y)
5.6b	(* j (* c t))
6.1b	(* x (- (* y z) (* t a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`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`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* (* j (- i)) y)
5.0ms	(* j (* c t))
6.0ms	(* x (- (* y z) (* t a)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* b (- (* c z) (* i a)))
31.0ms	(* (* j (- i)) y)
27.0ms	(* j (* c t))
78.0ms	(* x (- (* y z) (* t a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	470	477
1	2081	407
2	5002	407

prune379.0ms

Filtered

97 candidates to 60 candidates (61.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	96	21	117

Merged error: 5.7b

Counts

117 → 21

localize31.0ms

Local error

Found 4 expressions with local error:

6.1b	(* x (- (* y z) (* t a)))
13.3b	(cbrt (* (* j (- i)) y))
13.3b	(cbrt (* (* j (- i)) y))
13.3b	(cbrt (* (* j (- i)) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* (* j (- i)) y))
5.0ms	(cbrt (* (* j (- i)) y))
5.0ms	(cbrt (* (* j (- i)) y))

series428.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (- (* y z) (* t a)))
115.0ms	(cbrt (* (* j (- i)) y))
117.0ms	(cbrt (* (* j (- i)) y))
119.0ms	(cbrt (* (* j (- i)) y))

simplify90.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	251	413
1	862	366
2	3156	357
3	5002	357

prune305.0ms

Filtered

63 candidates to 50 candidates (79.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	63	21	84

Merged error: 5.6b

Counts

84 → 21

regimes1.2s

Accuracy

22.8% (5.0b remaining)

Error of 11.3b against oracle of 6.3b and baseline of 12.8b

bsearch242.0ms

Steps

Iters	Range		Point
8	1.0216366570734574e-14	3.3482202517171097e-10	7.833597953312133e-12
9	-9.909143782361267e-133	-3.120636620937814e-138	-7.879393969472898e-134

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	32
1	79	32
2	84	32
3	84	32

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19107×

body

valid