Details

sample32.0ms

Algorithm

intervals

Results

11.0ms

284×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.9b	(* y (/ (- z t) (- a t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

21.0ms	(/ (- z t) (- a t))
44.0ms	(* y (/ (- z t) (- a t)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- a t))
69.0ms	(* y (/ (- z t) (- a t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune216.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.9b	(* y (* (- z t) (/ 1 (- a t))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

11.0ms	(/ 1 (- a t))
44.0ms	(* (- z t) (/ 1 (- a t)))
52.0ms	(* y (* (- z t) (/ 1 (- a t))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- a t))
50.0ms	(* (- z t) (/ 1 (- a t)))
68.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify44.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	381	673
1	1768	564
2	5001	522

prune241.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

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))
1.9b	(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- z t)) (cbrt (- a t)))))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
31×	`add-cbrt-cube`
29×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
9×	`pow1`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 84

Calls

4 calls:

4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
299.0ms	(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- z t)) (cbrt (- a t)))))

series500.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- a t))
140.0ms	(cbrt (- a t))
142.0ms	(cbrt (- a t))
70.0ms	(* y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- z t)) (cbrt (- a t)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	521	1282
1	2319	922
2	5001	765

prune292.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- z t) y)
10.5b	(/ (* (- z t) y) (- a t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

21.0ms	(* (- z t) y)
26.0ms	(/ (* (- z t) y) (- a t))

series103.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- z t) y)
72.0ms	(/ (* (- z t) y) (- a t))

simplify35.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	256	263
1	1188	226
2	5001	226

prune114.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

64.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.3b

bsearch66.0ms

Steps

Iters	Range		Point
7	1.1098316879298111e-75	5.1763095540007274e-74	1.1805533237457e-75
10	-2.781710563952365e+25	-7908799307012.059	-250454101183023.06

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample595.0ms

Algorithm

intervals

Results

246.0ms

8738×

body

valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5