Details

Time bar (total: 13.2s)

sample34.0ms

Algorithm
intervals
Results
17.0ms276×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
113547
101241
9709
8446
7358
6299
5180
4105
360
237
121
010

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- z a))
0.0b
(+ x (* y (/ (- z t) (- z a))))
2.3b
(* y (/ (- z t) (- z a)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
72×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u fma-def flip3-- associate-*l* log1p-expm1-u flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
36.0ms
(/ (- z t) (- z a))
10.0ms
(+ x (* y (/ (- z t) (- z a))))
70.0ms
(* y (/ (- z t) (- z a)))

series315.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (- z t) (- z a))
118.0ms
(+ x (* y (/ (- z t) (- z a))))
111.0ms
(* y (/ (- z t) (- z a)))

simplify1.4s

Counts
131 → 131
Iterations
IterNodes
done5000
21821
1460
0168

prune737.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
2.8b
(fma (- z t) (/ y (- z a)) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- z a))
0.0ms
(fma (- z t) (/ y (- z a)) x)

series157.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ y (- z a))
103.0ms
(fma (- z t) (/ y (- z a)) x)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done5000
31492
2448
1177
092

prune335.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(* y (/ 1 (- z a)))
2.8b
(fma (- z t) (* y (/ 1 (- z a))) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×associate-*r*
19×*-un-lft-identity
17×times-frac
12×add-cube-cbrt
11×add-exp-log
7×add-cbrt-cube
4×pow1 prod-exp
3×associate-*l* distribute-lft-out-- difference-of-squares unswap-sqr
2×expm1-log1p-u div-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp flip3-- 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef div-inv flip--
Counts
2 → 56
Calls
2 calls:
38.0ms
(* y (/ 1 (- z a)))
1.0ms
(fma (- z t) (* y (/ 1 (- z a))) x)

series161.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* y (/ 1 (- z a)))
100.0ms
(fma (- z t) (* y (/ 1 (- z a))) x)

simplify1.1s

Counts
62 → 62
Iterations
IterNodes
done5000
2926
1279
0114

prune402.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ (/ (* y (- z t)) (- z a)) x)
11.5b
(/ (* y (- z t)) (- z a))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in fma-def distribute-lft-in
10×times-frac add-cbrt-cube add-exp-log
5×pow1 associate-/r* associate-*r* add-log-exp
4×flip3-- associate-*r/ associate-/r/ flip-- distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod div-inv associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 102
Calls
3 calls:
21.0ms
(* y (- z t))
61.0ms
(+ (/ (* y (- z t)) (- z a)) x)
28.0ms
(/ (* y (- z t)) (- z a))

series358.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* y (- z t))
158.0ms
(+ (/ (* y (- z t)) (- z a)) x)
133.0ms
(/ (* y (- z t)) (- z a))

simplify1.5s

Counts
111 → 111
Iterations
IterNodes
done5000
21993
1475
0182

prune569.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes577.0ms

Accuracy

41.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.2b

bsearch115.0ms

Steps
ItersRangePoint
7
1.273210862511844e-169
8.991995467258023e-168
5.380855567614572e-168
7
-1.9212019420744368e-147
-3.163484933478825e-149
-1.1090163028868352e-147

simplify5.0ms

Iterations
IterNodes
done28
228
127
020

end0.0ms

sample955.0ms

Algorithm
intervals
Results
482.0ms8722×body80valid
0.0ms1×body1280valid