Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

335×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

prune2.0ms

Filtered

1 candidates to 0 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: 6.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
7.3b	(/ (* y (- z t)) a)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
42×	`times-frac`
41×	`*-un-lft-identity`
31×	`add-cube-cbrt`
25×	`associate-r`
15×	`associate-l`
14×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 101

Calls

2 calls:

6.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series95.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (- z t))
56.0ms	(/ (* y (- z t)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	394	594
1	1654	557
2	5001	557

prune171.0ms

Filtered

107 candidates to 74 candidates (30.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	6	108

Merged error: 0b

Counts

108 → 6

localize9.0ms

Local error

Found 1 expressions with local error:

6.8b	(* (- z t) (/ y a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`frac-times` `*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r`
10×	`flip3--` `times-frac` `flip--` `associate-/l*`
9×	`associate-r/` `associate-/r`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`clear-num`
3×	`pow1` `frac-2neg`
2×	`associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 64

Calls

1 calls:

11.0ms

(* (- z t) (/ y a))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (- z t) (/ y a))

simplify47.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	331	396
1	1742	375
2	5003	369

prune115.0ms

Filtered

67 candidates to 45 candidates (32.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Merged error: 0b

Counts

73 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

7.2b	(/ (- z t) (/ a y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
87×	`add-sqr-sqrt` `*-un-lft-identity`
59×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow1` `flip3--` `div-sub` `flip--` `add-log-exp`

Counts

1 → 109

Calls

1 calls:

10.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	562	876
1	2168	845
2	5001	844

prune187.0ms

Filtered

112 candidates to 79 candidates (29.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a))
4.4b	(* (/ (- z t) (- a)) (- y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
101×	`times-frac`
64×	`add-cube-cbrt`
54×	`associate-l`
39×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`associate-l/` `associate-/r`
13×	`neg-mul-1`
10×	`associate-r` `associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/l/`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`div-sub` `pow-prod-down` `*-commutative` `distribute-rgt-neg-out`

Counts

2 → 180

Calls

2 calls:

7.0ms	(/ (- z t) (- a))
25.0ms	(* (/ (- z t) (- a)) (- y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- z t) (- a))
45.0ms	(* (/ (- z t) (- a)) (- y))

simplify70.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	674	1186
1	2926	1145
2	5002	1132

prune301.0ms

Filtered

186 candidates to 127 candidates (31.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	3	0	3
Picked	1	0	1
Done	0	2	2
Total	187	5	192

Merged error: 0b

Counts

192 → 5

regimes175.0ms

Accuracy

74% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.5b

bsearch92.0ms

Steps

Iters	Range		Point
8	1.4965109565208057e-27	4.8809637494531754e-23	3.747021004019891e-26
10	-1.2745855388170935e+40	-6.252082536157442e+29	-3.591353045210928e+32

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	12
1	32	12

end0.0ms

sample614.0ms

Algorithm

intervals

Results

297.0ms

10668×

body

valid