Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

262×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize18.0ms

Local error

Found 3 expressions with local error:

5.3b	(/ (* y z) t)
5.3b	(/ (* y b) t)
13.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 95

Calls

3 calls:

3.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
36.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* y z) t)
20.0ms	(/ (* y b) t)
103.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	447	799
1	1949	738
2	5002	723

prune305.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.8b

localize13.0ms

Local error

Found 3 expressions with local error:

5.3b	(/ (* y z) t)
5.4b	(/ y (/ t b))
13.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

98×	`times-frac`
95×	`*-un-lft-identity`
58×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/r*` `distribute-lft-out`
15×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`frac-add` `associate-/l/`
1×	`prod-exp` `cbrt-unprod`

Counts

3 → 144

Calls

3 calls:

3.0ms	(/ (* y z) t)
5.0ms	(/ y (/ t b))
65.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series140.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* y z) t)
22.0ms	(/ y (/ t b))
100.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify77.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	664	1166
1	2853	1089
2	5001	1072

prune487.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.9b

localize12.0ms

Local error

Found 3 expressions with local error:

4.7b	(* y (/ z t))
5.4b	(/ y (/ t b))
13.9b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
83×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 149

Calls

3 calls:

7.0ms	(* y (/ z t))
5.0ms	(/ y (/ t b))
56.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* y (/ z t))
22.0ms	(/ y (/ t b))
103.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify85.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	719	1146
1	3135	1059
2	5001	1047

prune505.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 11.6b

localize16.0ms

Local error

Found 3 expressions with local error:

5.3b	(/ (* y z) t)
5.6b	(* (/ y t) b)
13.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
6×	`associate-/r*`
5×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 96

Calls

3 calls:

3.0ms	(/ (* y z) t)
8.0ms	(* (/ y t) b)
29.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* y z) t)
22.0ms	(* (/ y t) b)
101.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	496	742
1	2091	674
2	5002	661

prune297.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 11.6b

regimes378.0ms

Accuracy

42.5% (3.7b remaining)

Error of 13.3b against oracle of 9.7b and baseline of 16.0b

bsearch111.0ms

Steps

Iters	Range		Point
10	1.3351138070779824e-41	3.56297198296231e-26	6.724174917465982e-34
5	-1.448677705026e+127	-5.2003102588230205e+126	-5.380158126013882e+126

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	17
1	44	17

end0.0ms

sample659.0ms

Algorithm

intervals

Results

367.0ms

8272×

body

valid