Details

Time bar (total: 16.8s)

sample54.0ms

Algorithm
intervals
Results
22.0ms358×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
103484
91175
8608
7349
6262
5173
4100
349
226
115
09

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) a)
5.4b
(fma y (/ (- z t) a) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
14.0ms
(/ (- z t) a)
0.0ms
(fma y (/ (- z t) a) x)

series127.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- z t) a)
84.0ms
(fma y (/ (- z t) a) x)

simplify2.0s

Counts
56 → 56
Iterations
IterNodes
done5002
33627
2634
1199
094

prune323.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- z t) (/ 1 a))
5.4b
(fma y (* (- z t) (/ 1 a)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×times-frac add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ cbrt-unprod log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
31.0ms
(* (- z t) (/ 1 a))
0.0ms
(fma y (* (- z t) (/ 1 a)) x)

series122.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- z t) (/ 1 a))
78.0ms
(fma y (* (- z t) (/ 1 a)) x)

simplify2.1s

Counts
60 → 60
Iterations
IterNodes
done5001
21904
1290
0119

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

5.4b
(fma y (* (* (cbrt (/ (- z t) a)) (cbrt (/ (- z t) a))) (cbrt (/ (- z t) a))) x)
8.1b
(cbrt (/ (- z t) a))
8.1b
(cbrt (/ (- z t) a))
8.1b
(cbrt (/ (- z t) a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 100
Calls
4 calls:
0.0ms
(fma y (* (* (cbrt (/ (- z t) a)) (cbrt (/ (- z t) a))) (cbrt (/ (- z t) a))) x)
4.0ms
(cbrt (/ (- z t) a))
5.0ms
(cbrt (/ (- z t) a))
6.0ms
(cbrt (/ (- z t) a))

series733.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(fma y (* (* (cbrt (/ (- z t) a)) (cbrt (/ (- z t) a))) (cbrt (/ (- z t) a))) x)
203.0ms
(cbrt (/ (- z t) a))
224.0ms
(cbrt (/ (- z t) a))
197.0ms
(cbrt (/ (- z t) a))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done5001
31774
2551
1258
0140

prune845.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
7.2b
(/ (* y (- z t)) a)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*l* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
22.0ms
(* y (- z t))
8.0ms
(+ x (/ (* y (- z t)) a))
17.0ms
(/ (* y (- z t)) a)

series202.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* y (- z t))
81.0ms
(+ x (/ (* y (- z t)) a))
66.0ms
(/ (* y (- z t)) a)

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5000
21788
1436
0170

prune528.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

66% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch180.0ms

Steps
ItersRangePoint
7
5.970666325885315e-49
2.0904250716267526e-47
1.0515243095593963e-47
8
3.3207391809551394e-143
1.3865205033157676e-139
6.452314596038024e-142
9
-3.27334652413423e-10
-2.567166085843448e-19
-1.5982814066709494e-10

simplify6.0ms

Iterations
IterNodes
done34
234
133
027

end0.0ms

sample1.7s

Algorithm
intervals
Results
595.0ms10743×body80valid