Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

264×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.5b	(/ (* y b) t)
5.1b	(/ (* y z) t)
12.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

30.0ms	(+ (+ a 1.0) (/ (* y b) t))
10.0ms	(/ (* y b) t)
9.0ms	(/ (* y z) t)
67.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ (* y b) t)
16.0ms	(/ (* y z) t)
91.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune535.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.5b	(* y (/ z t))
4.5b	(/ (* y b) t)
12.2b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r`
9×	`add-log-exp`
8×	`associate-/r*`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `frac-add` `associate-/r/` `associate-/l*`
3×	`associate-l` `prod-exp` `sum-log` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 111

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
15.0ms	(* y (/ z t))
9.0ms	(/ (* y b) t)
56.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ a 1.0) (/ (* y b) t))
20.0ms	(* y (/ z t))
17.0ms	(/ (* y b) t)
86.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	531	889
1	2380	821
2	5001	821

prune592.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* y (/ b t)))
3.5b	(* y (/ z t))
3.7b	(* y (/ b t))
12.2b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`pow1`
6×	`associate-r/` `associate-l*`
5×	`flip3-+` `flip-+`
4×	`frac-add` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `sum-log` `div-inv` `associate-/l`
2×	`pow-prod-down` `*-commutative` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `clear-num`

Counts

4 → 112

Calls

4 calls:

26.0ms	(+ (+ a 1.0) (* y (/ b t)))
15.0ms	(* y (/ z t))
13.0ms	(* y (/ b t))
51.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ a 1.0) (* y (/ b t)))
16.0ms	(* y (/ z t))
17.0ms	(* y (/ b t))
90.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* y (/ b t))))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	570	845
1	2512	777
2	5003	777

prune652.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (* (/ b t) y))
3.5b	(* y (/ z t))
3.7b	(* (/ b t) y)
12.2b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ b t) y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
29×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
9×	`add-log-exp`
8×	`pow1`
5×	`flip3-+` `associate-*l/` `flip-+`
4×	`frac-add` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `sum-log` `div-inv` `associate-/l`
2×	`pow-prod-down` `*-commutative` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `associate-*r/` `clear-num`

Counts

4 → 112

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (* (/ b t) y))
13.0ms	(* y (/ z t))
14.0ms	(* (/ b t) y)
51.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ b t) y)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ a 1.0) (* (/ b t) y))
17.0ms	(* y (/ z t))
18.0ms	(* (/ b t) y)
93.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ b t) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	575	840
1	2622	771
2	5001	771

prune558.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.5b

regimes524.0ms

Accuracy

61.3% (2.5b remaining)

Error of 12.4b against oracle of 9.9b and baseline of 16.3b

bsearch113.0ms

Steps

Iters	Range		Point
6	3.1122960551702964e-21	2.3864342870608787e-20	2.0459193535671432e-20
7	-6.632113505925092e-43	-1.511879292000949e-44	-9.660821150948876e-44

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	17
1	44	17

end0.0ms

sample666.0ms

Algorithm

intervals

Results

386.0ms

8275×

body

valid