Details

sample276.0ms

Algorithm

intervals

Results

152.0ms	98×	body	2560	valid
48.0ms	75×	body	1280	valid
14.0ms	41×	body	640	valid
7.0ms	27×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	14×	body	160	valid
0.0ms	1×	body	80	valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.5b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`tan-quot` `cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

10.0ms	(/ 1.0 (tan x))
47.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ 1.0 (tan x))
175.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify113.0ms

Counts: 56 → 56

prune134.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)) (* (/ 6004799503160661.0 18014398509481984.0) x)))

0.1b

(* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3))

0.1b

(* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
29×	`add-exp-log`
26×	`associate-l`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
14×	`unswap-sqr`
13×	`add-cbrt-cube`
12×	`prod-exp`
10×	`unpow-prod-down`
8×	`add-log-exp`
7×	`associate-*l/`
6×	`div-exp` `sqr-pow`
5×	`cube-prod`
4×	`pow-to-exp` `frac-add` `pow-exp` `cbrt-unprod`
3×	`pow1` `sum-log`
2×	`cbrt-undiv` `flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`+-commutative` `cube-mult` `associate-+r+` `unpow3`

Counts

3 → 109

Calls

3 calls:

42.0ms

(+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)) (* (/ 6004799503160661.0 18014398509481984.0) x)))

21.0ms

(* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3))

25.0ms

(* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))

series218.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms

(+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)) (* (/ 6004799503160661.0 18014398509481984.0) x)))

62.0ms

(* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3))

72.0ms

(* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))

simplify87.0ms

Counts: 118 → 118

prune534.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)))) (* (/ 6004799503160661.0 18014398509481984.0) x)))
0.1b	(* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3))
0.1b	(* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))
1.8b	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
30×	`add-exp-log`
26×	`associate-l`
25×	`times-frac`
24×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
14×	`add-cbrt-cube` `unswap-sqr`
12×	`prod-exp`
10×	`unpow-prod-down`
9×	`add-log-exp`
6×	`div-exp` `sqr-pow`
5×	`pow1` `cube-prod`
4×	`pow-to-exp` `associate-*l/` `pow-exp` `cbrt-unprod`
3×	`log-prod` `sum-log` `log-pow`
2×	`cbrt-undiv` `flip3-+` `frac-add` `*-commutative` `flip-+` `div-inv`
1×	`+-commutative` `cube-mult` `associate-+r+` `exp-prod` `exp-to-pow` `unpow3` `rem-log-exp`

Counts

4 → 122

Calls

4 calls:

37.0ms	(+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)))) (* (/ 6004799503160661.0 18014398509481984.0) x)))
29.0ms	(* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3))
31.0ms	(* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))
4.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)))) (* (/ 6004799503160661.0 18014398509481984.0) x)))
55.0ms	(* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3))
72.0ms	(* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))
66.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))

simplify71.0ms

Counts: 134 → 134

prune634.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)))) (* (/ 6004799503160661.0 18014398509481984.0) x))))
1.8b	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))
1.8b	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))
1.8b	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod` `log-pow`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-log-exp`
4×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
3×	`cbrt-prod` `exp-prod` `exp-to-pow` `rem-log-exp`
2×	`flip3-+` `associate-*l/` `frac-add` `flip-+`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

27.0ms	(cbrt (+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)))) (* (/ 6004799503160661.0 18014398509481984.0) x))))
10.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))
4.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))
4.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(cbrt (+ (* (/ 6405119470038039.0 2.8823037615171174e+17) (pow x 3)) (+ (log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5)))) (* (/ 6004799503160661.0 18014398509481984.0) x))))
79.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))
75.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))
84.0ms	(log (exp (* (/ 4880091024790887.0 2.305843009213694e+18) (pow x 5))))

simplify67.0ms

Counts: 69 → 69

prune539.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

regimes130.0ms

Accuracy

20.8% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify58.0ms

end0.0ms

sample13.2s

Algorithm

intervals

Results

8.8s	3276×	body	2560	valid
2.8s	2506×	body	1280	valid
718.0ms	1203×	body	640	valid
289.0ms	8000×	pre	80	true
216.0ms	645×	body	320	valid
122.0ms	325×	body	160	valid
5.0ms	45×	body	80	valid