Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

380×

body

valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.3b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.5b	(* (* (* z 4.0) t) a)
17.9b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

16.0ms	(* (* x 9.0) y)
18.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
52.0ms	(* (* (* z 4.0) t) a)
180.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series297.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
68.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
29.0ms	(* (* (* z 4.0) t) a)
178.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify73.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune259.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.7b	(/ b (* z c))
7.0b	(/ (* a t) c)
9.0b	(/ (* x y) (* z c))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

28.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(/ b (* z c))
9.0ms	(/ (* a t) c)
12.0ms	(/ (* x y) (* z c))

series98.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
17.0ms	(/ b (* z c))
17.0ms	(/ (* a t) c)
24.0ms	(/ (* x y) (* z c))

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune287.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.3b	(/ a (/ c t))
5.7b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

25.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ a (/ c t))
7.0ms	(/ b (* z c))
15.0ms	(/ (* x y) (* z c))

series98.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ a (/ c t))
17.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify78.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5002	746

prune678.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ a (/ c t))
5.7b	(/ b (* z c))
5.8b	(/ (* z c) y)
6.2b	(/ x (/ (* z c) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

8.0ms	(/ a (/ c t))
7.0ms	(/ b (* z c))
12.0ms	(/ (* z c) y)
10.0ms	(/ x (/ (* z c) y))

series86.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (/ c t))
22.0ms	(/ b (* z c))
17.0ms	(/ (* z c) y)
29.0ms	(/ x (/ (* z c) y))

simplify70.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	670	935
1	3037	856
2	5001	856

prune548.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes708.0ms

Accuracy

13.4% (8.8b remaining)

Error of 9.1b against oracle of 0.3b and baseline of 10.5b

bsearch247.0ms

Steps

Iters	Range	Point
10	6.471743516661484e-156	1.4968283334819452e-142	1.5471805389995927e-144
8	-1.0820501581527777e-127	-3.2583755044020123e-131	-1.2523253382657019e-129
7	-8.291459488833008e+169	-7.892598430786632e+167	-8.016064350755588e+167

Iters

Range

Point

6.471743516661484e-156

1.4968283334819452e-142

1.5471805389995927e-144

-1.0820501581527777e-127

-3.2583755044020123e-131

-1.2523253382657019e-129

-8.291459488833008e+169

-7.892598430786632e+167

-8.016064350755588e+167

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	42
1	57	42

end0.0ms

sample1.2s

Algorithm

intervals

Results

584.0ms

12747×

body

valid