Details

sample183.0ms

Algorithm

intervals

Results

46.0ms	46×	body	10240	exit
35.0ms	42×	body	1280	valid
21.0ms	46×	body	640	valid
12.0ms	39×	body	320	valid
12.0ms	114×	body	80	valid
8.0ms	4×	body	2560	valid
5.0ms	77×	body	80	nan
4.0ms	13×	body	640	nan
2.0ms	12×	body	160	valid
2.0ms	8×	body	320	nan
0.0ms	1×	body	1280	nan
0.0ms	1×	body	160	nan

simplify552.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	48	13
4	66	13
5	78	13
6	100	13
7	126	13
8	150	13
9	203	13
10	284	13
11	290	13
done	290	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.9b	(log (+ (- 1.0 y) (* y (exp z))))
2.9b	(+ (- 1.0 y) (* y (exp z)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

23.0ms	(* y (exp z))
110.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
22.0ms	(log (+ (- 1.0 y) (* y (exp z))))
43.0ms	(+ (- 1.0 y) (* y (exp z)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* y (exp z))
236.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
109.0ms	(log (+ (- 1.0 y) (* y (exp z))))
44.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify2.9s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	203	1436
1	451	1388
2	1247	1271
3	3833	1268
done	5002	1268

prune497.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* y (exp z)))
0.4b	(cbrt (* y (exp z)))
2.9b	(log (+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z))))))
13.4b	(+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z)))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`cbrt-prod` `log-div` `associate-+l+` `flip3-+` `pow1/3` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

4 → 47

Calls

4 calls:

9.0ms	(cbrt (* y (exp z)))
7.0ms	(cbrt (* y (exp z)))
89.0ms	(log (+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z))))))
69.0ms	(+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z)))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (* y (exp z)))
98.0ms	(cbrt (* y (exp z)))
175.0ms	(log (+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z))))))
73.0ms	(+ (- 1.0 y) (* (* (cbrt (* y (exp z))) (cbrt (* y (exp z)))) (cbrt (* y (exp z)))))

simplify2.2s

Counts

59 → 59

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	128	1360
1	305	1309
2	830	646
3	2758	636
done	5001	632

prune344.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
2.6b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.0b	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

24.0ms	(* 0.5 (pow z 2))
47.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
32.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
103.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

series582.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 0.5 (pow z 2))
220.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
136.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
184.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

simplify1.2s

Counts

105 → 105

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	192	1963
1	461	1859
2	1380	1720
done	5001	1545

prune506.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
2.9b	(/ (* z y) t)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

78.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
26.0ms	(/ (* z y) t)

series192.0ms

Counts

2 → 6

Calls

2 calls:

164.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
28.0ms	(/ (* z y) t)

simplify2.7s

Counts

43 → 43

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	86	587
1	204	564
2	682	506
3	2974	506
done	5000	506

prune192.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.6b

regimes1.3s

Accuracy

47.1% (6.9b remaining)

Error of 10.8b against oracle of 3.9b and baseline of 16.9b

bsearch4.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	57	158
1	76	158
done	76	158

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.7s	1413×	body	1280	valid
1.6s	1500×	body	10240	exit
848.0ms	3475×	body	80	valid
846.0ms	1545×	body	640	valid
504.0ms	1011×	body	320	valid
219.0ms	2509×	body	80	nan
196.0ms	99×	body	2560	valid
102.0ms	289×	body	640	nan
98.0ms	485×	body	160	valid
66.0ms	125×	body	1280	nan
47.0ms	192×	body	320	nan
20.0ms	126×	body	160	nan