Details

Time bar (total: 23.7s)

sample169.0ms

Algorithm
intervals
Results
39.0ms48×body10240exit
28.0ms33×body1280valid
25.0ms58×body640valid
13.0ms130×body80valid
12.0ms5×body2560valid
7.0ms22×body320valid
6.0ms95×body80nan
2.0ms9×body320nan
2.0ms6×body640nan
1.0ms3×body1280nan
1.0ms8×body160valid
0.0ms3×body160nan

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12013
23313
34813
47313
519513
673813
7347713
done500113

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp z))
0.0b
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.5b
(log (+ (- 1.0 y) (* y (exp z))))
3.4b
(+ (- 1.0 y) (* y (exp z)))

rewrite227.0ms

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:
25.0ms
(* y (exp z))
86.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
49.0ms
(log (+ (- 1.0 y) (* y (exp z))))
62.0ms
(+ (- 1.0 y) (* y (exp z)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* y (exp z))
234.0ms
(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
102.0ms
(log (+ (- 1.0 y) (* y (exp z))))
48.0ms
(+ (- 1.0 y) (* y (exp z)))

simplify1.3s

Counts
92 → 92
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02031436
14781388
218631273
done50011270

prune460.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.7b

localize40.0ms

Local error

Found 4 expressions with local error:

3.4b
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
5.2b
(/ (* z y) t)
6.1b
(/ (* (pow z 2) y) t)
8.3b
(* (pow z 2) y)

rewrite169.0ms

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:
115.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
16.0ms
(/ (* z y) t)
12.0ms
(/ (* (pow z 2) y) t)
21.0ms
(* (pow z 2) y)

series275.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(+ (* 1.0 (/ (* z y) t)) (+ (/ (log 1.0) t) (* 0.5 (/ (* (pow z 2) y) t))))
39.0ms
(/ (* z y) t)
34.0ms
(/ (* (pow z 2) y) t)
35.0ms
(* (pow z 2) y)

simplify1.7s

Counts
99 → 99
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01711403
15101310
228441175
done50011173

prune566.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize28.0ms

Local error

Found 4 expressions with local error:

8.3b
(* (pow z 2) y)
20.6b
(cbrt (/ (* z y) t))
20.6b
(cbrt (/ (* z y) t))
20.6b
(cbrt (/ (* z y) t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
19×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×add-exp-log times-frac
8×associate-*l*
6×add-cbrt-cube
4×pow1 unpow-prod-down add-log-exp unswap-sqr
3×cbrt-div pow1/3 associate-*r* prod-exp div-inv
2×unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 75
Calls
4 calls:
37.0ms
(* (pow z 2) y)
4.0ms
(cbrt (/ (* z y) t))
4.0ms
(cbrt (/ (* z y) t))
4.0ms
(cbrt (/ (* z y) t))

series379.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (pow z 2) y)
114.0ms
(cbrt (/ (* z y) t))
135.0ms
(cbrt (/ (* z y) t))
104.0ms
(cbrt (/ (* z y) t))

simplify3.5s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0108847
1204810
2622738
33987714
done5000714

prune600.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.2b
(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
10.5b
(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1 add-exp-log
4×add-cbrt-cube
3×log-prod
2×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 → 51
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
64.0ms
(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
83.0ms
(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt y)
289.0ms
(cbrt y)
150.0ms
(log (+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z)))))
92.0ms
(+ (- 1.0 y) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (exp z))))

simplify778.0ms

Counts
63 → 63
Iterations

Useful iterations: done (776.0ms)

IterNodesCost
01221000
1299961
21215693
done5000576

prune347.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.0b

regimes792.0ms

Accuracy

69.7% (5.7b remaining)

Error of 9.6b against oracle of 3.9b and baseline of 22.6b

bsearch258.0ms

Steps
ItersRangePoint
7
4.2323969488157835e-158
1.0410136357076043e-156
2.1214323562492522e-157
8
-7.770478829161573e-10
-2.0385825161063183e-12
-4.872988367143696e-12

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04472
15672
done5672

end0.0ms

sample7.0s

Algorithm
intervals
Results
1.6s1485×body10240exit
1.5s1504×body1280valid
1.3s1619×body640valid
724.0ms3444×body80valid
300.0ms890×body320valid
211.0ms2616×body80nan
154.0ms80×body2560valid
97.0ms121×body1280nan
96.0ms269×body640nan
93.0ms493×body160valid
47.0ms192×body320nan
17.0ms109×body160nan