Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

354×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y a) (- z t) x)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma (/ y a) (- z t) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune32.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.5b	(/ (* y (- z t)) a)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
45×	`add-cube-cbrt`
42×	`times-frac`
25×	`associate-r`
18×	`prod-diff`
15×	`associate-l`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 140

Calls

3 calls:

15.0ms	(+ x (/ (* y (- z t)) a))
10.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series129.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (/ (* y (- z t)) a))
38.0ms	(* y (- z t))
45.0ms	(/ (* y (- z t)) a)

simplify68.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	548	968
1	2277	796
2	5001	788

prune298.0ms

Filtered

149 candidates to 96 candidates (64.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z t) (/ a y)))
7.1b	(/ (- z t) (/ a y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 129

Calls

2 calls:

21.0ms	(+ x (/ (- z t) (/ a y)))
13.0ms	(/ (- z t) (/ a y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ x (/ (- z t) (/ a y)))
41.0ms	(/ (- z t) (/ a y))

simplify66.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	642	995
1	2439	948
2	5001	945

prune318.0ms

Filtered

135 candidates to 100 candidates (74.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0b

Counts

141 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

7.1b	(/ (- z t) (/ a y))
7.5b	(cbrt (/ (- z t) (/ a y)))
7.5b	(cbrt (/ (- z t) (/ a y)))
7.5b	(cbrt (/ (- z t) (/ a y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

476×	`times-frac`
351×	`add-sqr-sqrt` `*-un-lft-identity`
239×	`add-cube-cbrt`
234×	`cbrt-prod`
69×	`cbrt-div`
64×	`associate-/r*`
56×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r/`
32×	`associate-/l*`
28×	`div-inv`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-2neg` `clear-num` `associate-/l/`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`div-sub`

Counts

4 → 444

Calls

4 calls:

11.0ms	(/ (- z t) (/ a y))
13.0ms	(cbrt (/ (- z t) (/ a y)))
12.0ms	(cbrt (/ (- z t) (/ a y)))
14.0ms	(cbrt (/ (- z t) (/ a y)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- z t) (/ a y))
136.0ms	(cbrt (/ (- z t) (/ a y)))
138.0ms	(cbrt (/ (- z t) (/ a y)))
136.0ms	(cbrt (/ (- z t) (/ a y)))

simplify110.0ms

Algorithm

egg-herbie

Counts

456 → 456

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	866	4537
1	2956	4479
2	5001	4449

prune1.6s

Filtered

456 candidates to 347 candidates (76.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	456	0	456
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	456	6	462

Merged error: 0b

Counts

462 → 6

regimes247.0ms

Accuracy

64.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch83.0ms

Steps

Iters	Range		Point
9	1.5855828678791284e-19	7.538663322587148e-14	9.832255549379832e-19
8	-1.0947703729753083e-35	-3.808205117121706e-40	-7.993695557765502e-36

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	14
1	38	14
2	38	14

end0.0ms

sample617.0ms

Algorithm

intervals

Results

305.0ms

10619×

body

valid