Details

Time bar (total: 12.6s)

sample32.0ms

Algorithm
intervals
Results
11.0ms347×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
93129
8915
7384
6200
5144
488
345
225
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- x z)) t))
0.0b
(* y (- x z))
5.5b
(/ (* y (- x z)) t)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* sub-neg times-frac flip3-- associate-*l* flip--
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
9.0ms
(- x (/ (* y (- x z)) t))
16.0ms
(* y (- x z))
12.0ms
(/ (* y (- x z)) t)

series184.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- x (/ (* y (- x z)) t))
55.0ms
(* y (- x z))
68.0ms
(/ (* y (- x z)) t)

simplify930.0ms

Counts
72 → 72
Iterations
IterNodes
done5000
21143
1303
0116

prune344.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- x z) (/ t y)))
8.0b
(/ (- x z) (/ t y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
95×add-sqr-sqrt
88×*-un-lft-identity
58×add-cube-cbrt
17×difference-of-squares
15×distribute-lft-out--
13×associate-/r*
7×add-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- div-sub flip-- associate-/l/
1×clear-num sub-neg frac-2neg diff-log associate-/r/ associate--r-
Counts
2 → 118
Calls
2 calls:
52.0ms
(- x (/ (- x z) (/ t y)))
16.0ms
(/ (- x z) (/ t y))

series147.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- x (/ (- x z) (/ t y)))
77.0ms
(/ (- x z) (/ t y))

simplify1.1s

Counts
124 → 124
Iterations
IterNodes
done5001
23031
1667
0224

prune699.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (- x z) (/ (* 1 y) t)))
8.1b
(* (- x z) (/ (* 1 y) t))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log
11×add-cbrt-cube
9×add-sqr-sqrt
7×*-un-lft-identity associate-*r*
6×prod-exp
5×associate-*l* add-cube-cbrt
4×pow1 cbrt-unprod add-log-exp
3×times-frac flip3-- div-exp flip--
2×frac-times cbrt-undiv associate-*l/
1×sub-neg diff-log 1-exp pow-prod-down associate-*r/ *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
8.0ms
(- x (* (- x z) (/ (* 1 y) t)))
59.0ms
(* (- x z) (/ (* 1 y) t))

series133.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(- x (* (- x z) (/ (* 1 y) t)))
61.0ms
(* (- x z) (/ (* 1 y) t))

simplify1.2s

Counts
52 → 52
Iterations
IterNodes
done5001
21749
1316
0117

prune265.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
3.4b
(* (/ y t) (cbrt (- x z)))
4.9b
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (/ y t) (cbrt (- x z))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
37×associate-*r/
31×add-sqr-sqrt
30×associate-*l/ add-exp-log
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×prod-exp add-cube-cbrt cbrt-unprod
14×associate-*l*
11×times-frac
9×associate-*r* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 152
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
40.0ms
(* (/ y t) (cbrt (- x z)))
111.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (/ y t) (cbrt (- x z))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt (- x z))
196.0ms
(cbrt (- x z))
123.0ms
(* (/ y t) (cbrt (- x z)))
67.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (/ y t) (cbrt (- x z))))

simplify1.6s

Counts
164 → 164
Iterations
IterNodes
done5000
23357
1825
0279

prune938.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes378.0ms

Accuracy

2.4% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch120.0ms

Steps
ItersRangePoint
8
1.1080663442396689e-198
2.711563690867585e-195
4.817264783557647e-197
11
-4.856438882062365e-251
-1.2440393269211897e-272
-2.6425921778271077e-268

simplify7.0ms

Iterations
IterNodes
done32
232
130
024

end0.0ms

sample1.3s

Algorithm
intervals
Results
579.0ms10730×body80valid