Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite43.0ms

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:

14.0ms	(/ (- z t) (- z a))
24.0ms	(* y (/ (- z t) (- z a)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- z t) (- z a))
59.0ms	(* y (/ (- z t) (- z a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune244.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.5b	(* y (* (- z t) (/ 1 (- z a))))

rewrite63.0ms

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:

8.0ms	(/ 1 (- z a))
24.0ms	(* (- z t) (/ 1 (- z a)))
26.0ms	(* y (* (- z t) (/ 1 (- z a))))

series136.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (- z a))
44.0ms	(* (- z t) (/ 1 (- z a)))
59.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify47.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	385	673
1	1779	564
2	5001	522

prune267.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

68.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
119.0ms	(cbrt (/ (- z t) (- z a)))
143.0ms	(cbrt (/ (- z t) (- z a)))
127.0ms	(cbrt (/ (- z t) (- z a)))

simplify99.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	381	3471
1	1199	3405
2	4304	3218
3	5002	3212

prune985.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (/ 1 (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))
4.6b	(cbrt (/ (- z t) (- z a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

88×	`cbrt-prod`
84×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`div-inv`

Counts

4 → 125

Calls

4 calls:

2.0ms	(cbrt (- z t))
4.0ms	(cbrt (/ 1 (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (- z t))
144.0ms	(cbrt (/ 1 (- z a)))
119.0ms	(cbrt (/ (- z t) (- z a)))
118.0ms	(cbrt (/ (- z t) (- z a)))

simplify86.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	439	1161
1	935	1131
2	3121	1108
3	5002	1063

prune489.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

43.4% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.3b

bsearch52.0ms

Steps

Iters	Range		Point
2	3.40479805722343e+70	3.8619694545729433e+70	3.461944481892119e+70
9	-45853.62824451683	-0.05879146692607421	-45229.0517728166

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample533.0ms

Algorithm

intervals

Results

275.0ms	8772×	body	80	valid
0.0ms	1×	body	160	valid