Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.8b	(+ (* (+ x y) z) (* (+ t y) a))
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
21.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

20.0ms	(* (+ x y) z)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
70.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
149.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series758.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ x y) z)
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
584.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify59.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune280.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.8b	(+ (* (+ x y) z) (* (+ t y) a))
5.9b	(/ (* y b) (+ (+ x t) y))
19.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
19×	`distribute-lft-out`
18×	`add-cube-cbrt` `associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/l/` `add-log-exp`
4×	`associate-l` `associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

20.0ms	(* (+ x y) z)
13.0ms	(+ (* (+ x y) z) (* (+ t y) a))
37.0ms	(/ (* y b) (+ (+ x t) y))
67.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series370.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ x y) z)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
74.0ms	(/ (* y b) (+ (+ x t) y))
220.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	538	1000
1	2671	922
2	5002	922

prune313.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
0.8b	(+ (* (+ x y) z) (* (+ t y) a))
8.2b	(* y (/ b (+ (+ x t) y)))
19.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
16×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

33.0ms	(/ b (+ (+ x t) y))
13.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(* y (/ b (+ (+ x t) y)))
68.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series382.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ b (+ (+ x t) y))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
74.0ms	(* y (/ b (+ (+ x t) y)))
219.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	549	1202
1	2705	1118
2	5001	1118

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 4 expressions with local error:

18.3b	(cbrt (* y (/ b (+ (+ x t) y))))
18.3b	(cbrt (* y (/ b (+ (+ x t) y))))
18.3b	(cbrt (* y (/ b (+ (+ x t) y))))
19.2b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-*l/`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `associate-/l/`
5×	`associate-/r*`
4×	`pow1` `frac-add` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r/` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 73

Calls

4 calls:

19.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
21.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
19.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
68.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series941.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
239.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
241.0ms	(cbrt (* y (/ b (+ (+ x t) y))))
220.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	317	806
1	1258	739
2	5001	733

prune292.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

regimes393.0ms

Accuracy

23.3% (16.6b remaining)

Error of 19.5b against oracle of 2.8b and baseline of 24.5b

bsearch100.0ms

Steps

Iters	Range		Point
10	1.8955594305621704e+98	3.933082902213177e+109	2.8939786706965395e+101
7	-1.7255575010474424e+179	-5.8886360463751315e+177	-7.201158076696509e+177

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	44
1	39	44

end0.0ms

sample683.0ms

Algorithm

intervals

Results

327.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid