Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

278×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

prune4.0ms

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: 12.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
12.9b	(/ (* y (- z t)) (- z a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- z a))

series49.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (/ (* y (- z t)) (- z a)))
7.0ms	(* y (- z t))
15.0ms	(/ (* y (- z t)) (- z a))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune84.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.9b	(/ y (/ (- z a) (- z t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

27.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
13.0ms	(/ y (/ (- z a) (- z t)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
25.0ms	(/ y (/ (- z a) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune156.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Merged error: 0b

Counts

219 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.3b	(* y (/ (- z t) (- z a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series48.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* y (/ (- z t) (- z a))))
8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune90.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z a) (+ z t))
2.9b	(- (* z z) (* t t))
11.2b	(* y (- (* z z) (* t t)))
37.1b	(/ (* y (- (* z z) (* t t))) (* (- z a) (+ z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`flip3--` `flip--`
8×	`pow1` `frac-times` `add-cube-cbrt` `associate-r/` `associate-r` `associate-l*` `associate-/r/`
6×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-*l/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `difference-of-squares`
2×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 100

Calls

4 calls:

8.0ms	(* (- z a) (+ z t))
3.0ms	(- (* z z) (* t t))
6.0ms	(* y (- (* z z) (* t t)))
14.0ms	(/ (* y (- (* z z) (* t t))) (* (- z a) (+ z t)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- z a) (+ z t))
6.0ms	(- (* z z) (* t t))
15.0ms	(* y (- (* z z) (* t t)))
33.0ms	(/ (* y (- (* z z) (* t t))) (* (- z a) (+ z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	564	815
1	3394	657
2	5001	657

prune100.0ms

Filtered

81 candidates to 112 candidates (-38.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	112	4	116

Merged error: 0b

Counts

116 → 4

regimes439.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample749.0ms

Algorithm

intervals

Results

300.0ms

8705×

body

valid

Details

sample33.0ms

simplify54.0ms

prune4.0ms

localize9.0ms

rewrite23.0ms

series49.0ms

simplify42.0ms

prune84.0ms

localize9.0ms

rewrite61.0ms

series58.0ms

simplify79.0ms

prune156.0ms

localize8.0ms

rewrite30.0ms

series48.0ms

simplify50.0ms

prune90.0ms

localize12.0ms

rewrite34.0ms

series61.0ms

simplify90.0ms

prune100.0ms

regimes439.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample749.0ms

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