Details

Time bar (total: 21.4s)

sample226.0ms

Algorithm
intervals
Results
54.0ms53×body1280valid
49.0ms51×body10240exit
29.0ms29×body320valid
21.0ms35×body640valid
15.0ms122×body80valid
6.0ms72×body80nan
4.0ms2×body2560valid
4.0ms16×body160valid
3.0ms7×body640nan
3.0ms10×body320nan
1.0ms8×body160nan
1.0ms1×body1280nan

simplify4.5s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.3b
(log (+ (- 1.0 y) (* y (exp z))))
2.6b
(+ (- 1.0 y) (* y (exp z)))

rewrite184.0ms

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:
14.0ms
(* y (exp z))
65.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms
(log (+ (- 1.0 y) (* y (exp z))))
68.0ms
(+ (- 1.0 y) (* y (exp z)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* y (exp z))
230.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
112.0ms
(log (+ (- 1.0 y) (* y (exp z))))
54.0ms
(+ (- 1.0 y) (* y (exp z)))

simplify696.0ms

Counts
92 → 92

prune396.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.2b

localize37.0ms

Local error

Found 4 expressions with local error:

3.1b
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.1b
(/ (* z y) t)
7.7b
(* (pow z 2) y)
8.9b
(/ (* (pow z 2) y) t)

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
17×add-sqr-sqrt
16×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×add-log-exp
8×associate-*l*
7×prod-exp
6×times-frac div-exp associate-/r*
4×pow1 cbrt-undiv unpow-prod-down associate-*r/ frac-add unswap-sqr
3×associate-*r* sum-log cbrt-unprod
2×pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ div-inv associate-/l* unpow2 sqr-pow
1×+-commutative associate-+r+ *-commutative
Counts
4 → 87
Calls
4 calls:
80.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
17.0ms
(/ (* z y) t)
20.0ms
(* (pow z 2) y)
20.0ms
(/ (* (pow z 2) y) t)

series194.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
31.0ms
(/ (* z y) t)
22.0ms
(* (pow z 2) y)
22.0ms
(/ (* (pow z 2) y) t)

simplify994.0ms

Counts
99 → 99

prune427.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.2b

localize53.0ms

Local error

Found 4 expressions with local error:

3.1b
(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.0b
(/ (* z y) (* (cbrt t) (cbrt t)))
7.7b
(* (pow z 2) y)
8.9b
(/ (* (pow z 2) y) t)

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
19×add-cbrt-cube
15×add-sqr-sqrt
10×prod-exp
9×add-cube-cbrt *-un-lft-identity add-log-exp
8×div-exp associate-*l*
6×cbrt-undiv cbrt-unprod
4×pow1 unpow-prod-down times-frac associate-*r/ frac-add associate-/r* unswap-sqr
3×associate-*r* sum-log
2×pow-to-exp frac-2neg flip3-+ pow-exp clear-num flip-+ div-inv associate-/l* unpow2 sqr-pow
1×+-commutative associate-+r+ *-commutative
Counts
4 → 87
Calls
4 calls:
115.0ms
(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
16.0ms
(/ (* z y) (* (cbrt t) (cbrt t)))
14.0ms
(* (pow z 2) y)
30.0ms
(/ (* (pow z 2) y) t)

series365.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(+ (* 1.0 (/ (/ (* z y) (* (cbrt t) (cbrt t))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
146.0ms
(/ (* z y) (* (cbrt t) (cbrt t)))
31.0ms
(* (pow z 2) y)
29.0ms
(/ (* (pow z 2) y) t)

simplify994.0ms

Counts
99 → 99

prune495.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.2b

localize43.0ms

Local error

Found 4 expressions with local error:

3.1b
(+ (* 1.0 (/ (* (* z y) (/ 1 (* (cbrt t) (cbrt t)))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
4.0b
(* (* z y) (/ 1 (* (cbrt t) (cbrt t))))
7.7b
(* (pow z 2) y)
8.9b
(/ (* (pow z 2) y) t)

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
33×prod-exp
28×add-cbrt-cube
17×add-sqr-sqrt
13×cbrt-unprod
12×div-exp
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×pow1 associate-*l* add-log-exp
6×cbrt-undiv times-frac
5×associate-*r/
4×unpow-prod-down rec-exp 1-exp frac-add unswap-sqr
3×pow-prod-down associate-/r* sum-log
2×pow-to-exp flip3-+ pow-exp *-commutative flip-+ div-inv unpow2 sqr-pow
1×+-commutative associate-+r+ frac-2neg clear-num un-div-inv associate-/l*
Counts
4 → 106
Calls
4 calls:
193.0ms
(+ (* 1.0 (/ (* (* z y) (/ 1 (* (cbrt t) (cbrt t)))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
80.0ms
(* (* z y) (/ 1 (* (cbrt t) (cbrt t))))
14.0ms
(* (pow z 2) y)
14.0ms
(/ (* (pow z 2) y) t)

series371.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(+ (* 1.0 (/ (* (* z y) (/ 1 (* (cbrt t) (cbrt t)))) (cbrt t))) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
151.0ms
(* (* z y) (/ 1 (* (cbrt t) (cbrt t))))
29.0ms
(* (pow z 2) y)
34.0ms
(/ (* (pow z 2) y) t)

simplify1.5s

Counts
118 → 118

prune526.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.2b

regimes547.0ms

Accuracy

69.6% (5.3b remaining)

Error of 9.1b against oracle of 3.8b and baseline of 21.2b

bsearch70.0ms

Steps
ItersRangePoint
5
-112006308993557.39
-54852338704029.8
-55420076014679.5

simplify910.0ms

end0.0ms

sample6.9s

Algorithm
intervals
Results
1.9s1536×body10240exit
1.3s1457×body1280valid
871.0ms1601×body640valid
722.0ms3495×body80valid
364.0ms2575×body80nan
322.0ms893×body320valid
179.0ms80×body2560valid
94.0ms274×body640nan
93.0ms492×body160valid
64.0ms130×body1280nan
51.0ms219×body320nan
17.0ms113×body160nan