Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	261×	body	80	valid
2.0ms	18×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	8×	body	320	valid
0.0ms	7×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.5b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.2b	(/ (* (- y x) (- z t)) (- a t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `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`
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 → 81

Calls

3 calls:

17.0ms	(* (- y x) (- z t))
13.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms	(/ (* (- y x) (- z t)) (- a t))

series345.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- y x) (- z t))
191.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
111.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune241.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(+ x (* (- y x) (/ (- z t) (- a t))))
1.5b	(* (- y x) (/ (- z t) (- a t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

11.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
32.0ms	(* (- y x) (/ (- z t) (- a t)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z t) (- a t))
154.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
119.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5001	820

prune318.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
1.5b	(+ x (* (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
3.0ms	(+ x (* (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

series607.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- a t))
151.0ms	(cbrt (- a t))
145.0ms	(cbrt (- a t))
160.0ms	(+ x (* (* (- y x) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t))))) (/ (cbrt (- z t)) (cbrt (- a t)))))

simplify33.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	259	689
1	784	601
2	5002	590

prune293.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.5b	(+ x (/ (- y x) (/ (- a t) (- z t))))
1.6b	(/ (- y x) (/ (- a t) (- z t)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

10.0ms	(/ (- a t) (- z t))
66.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
21.0ms	(/ (- y x) (/ (- a t) (- z t)))

series415.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a t) (- z t))
163.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
203.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify108.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5003	2984

prune806.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.4b

regimes287.0ms

Accuracy

42.5% (4.5b remaining)

Error of 8.5b against oracle of 4.0b and baseline of 11.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	53
1	50	53

end0.0ms

sample688.0ms

Algorithm

intervals

Results

259.0ms	7811×	body	80	valid
61.0ms	499×	body	640	valid
44.0ms	300×	body	1280	valid
38.0ms	393×	body	320	valid
16.0ms	262×	body	160	valid
3.0ms	16×	body	2560	valid