Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	284×	body	80	valid
0.0ms	1×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
9.6b	(/ (* y (- z t)) (- a t))

rewrite34.0ms

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:

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

series183.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (/ (* y (- z t)) (- a t)))
40.0ms	(* y (- z t))
67.0ms	(/ (* y (- z t)) (- a t))

simplify50.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite45.0ms

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:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (* y (/ (- z t) (- a t))))
53.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
0.6b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

16.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
6.0ms	(/ z (- a t))
6.0ms	(/ t (- a t))
166.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ x (* y (- (/ z (- a t)) (/ t (- a t)))))
27.0ms	(/ z (- a t))
43.0ms	(/ t (- a t))
83.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify51.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	460	788
1	1745	749
2	5001	749

prune372.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
0.9b	(/ y (/ (- a t) (- z t)))

rewrite94.0ms

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:

47.0ms	(+ x (/ y (/ (- a t) (- z t))))
12.0ms	(/ (- a t) (- z t))
21.0ms	(/ y (/ (- a t) (- z t)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ x (/ y (/ (- a t) (- z t))))
61.0ms	(/ (- a t) (- z t))
153.0ms	(/ y (/ (- a t) (- z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832

prune715.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample516.0ms

Algorithm

intervals

Results

261.0ms	8736×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5