Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

268×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	75	15
4	112	15
5	148	15
6	181	15
7	257	15
8	419	15
9	728	15
10	1525	15
11	4096	15
done	5000	15

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
1.7b	(+ (* x y) (* z (- t a)))
25.0b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`prod-diff`
52×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+r+`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`sub-neg` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 161

Calls

4 calls:

39.0ms	(* z (- t a))
27.0ms	(* z (- b y))
21.0ms	(+ (* x y) (* z (- t a)))
46.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series769.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* z (- t a))
74.0ms	(* z (- b y))
101.0ms	(+ (* x y) (* z (- t a)))
516.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts

173 → 173

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	291	2904
1	619	2372
2	1671	1992
done	5000	1920

prune801.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.6b	(/ 1 (fma (- b y) z y))
1.7b	(+ (* x y) (* z (- t a)))
24.9b	(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
46×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp`
4×	`expm1-log1p-u` `sub-neg` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`flip3-+` `associate-r/` `associate-/r` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `fma-def` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

40.0ms	(* z (- t a))
6.0ms	(/ 1 (fma (- b y) z y))
14.0ms	(+ (* x y) (* z (- t a)))
61.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

series979.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* z (- t a))
172.0ms	(/ 1 (fma (- b y) z y))
80.0ms	(+ (* x y) (* z (- t a)))
673.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (fma (- b y) z y)))

simplify1.3s

Counts

169 → 169

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	237	2753
1	521	2261
2	1447	1949
done	5001	1901

prune615.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 25.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.7b	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
25.0b	(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (+ y (* z (- b y))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`prod-diff`
9×	`times-frac`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`pow1/3` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 117

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
22.0ms	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
80.0ms	(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (+ y (* z (- b y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt z)
295.0ms	(cbrt z)
131.0ms	(+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a))))
529.0ms	(/ (+ (* x y) (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- t a)))) (+ y (* z (- b y))))

simplify1.2s

Counts

129 → 129

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	240	2734
1	614	2464
2	1546	1761
done	5000	1394

prune662.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 25.1b

localize36.0ms

Local error

Found 4 expressions with local error:

16.7b	(cbrt (* z (- t a)))
16.7b	(cbrt (* z (- t a)))
16.7b	(cbrt (* z (- t a)))
24.9b	(* (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (/ 1 (fma (- b y) z y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-exp-log` `-un-lft-identity` `associate-r*`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`add-cbrt-cube`
7×	`associate-*r/`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `associate-l` `flip--` `unswap-sqr`
2×	`frac-times` `flip3-+` `div-exp` `associate-*l/` `cbrt-unprod` `flip-+`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 81

Calls

4 calls:

11.0ms	(cbrt (* z (- t a)))
13.0ms	(cbrt (* z (- t a)))
13.0ms	(cbrt (* z (- t a)))
68.0ms	(* (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (/ 1 (fma (- b y) z y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt (* z (- t a)))
257.0ms	(cbrt (* z (- t a)))
288.0ms	(cbrt (* z (- t a)))
678.0ms	(* (+ (* x y) (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (/ 1 (fma (- b y) z y)))

simplify3.7s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	156	2371
1	395	2187
2	1226	1204
3	4908	1185
done	5000	1185

prune515.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 25.1b

regimes659.0ms

Accuracy

0% (0.6b remaining)

Error of 22.9b against oracle of 22.3b and baseline of 22.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	19	17
done	19	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s

8418×

body

valid