Details

Time bar (total: 51.5s)

sample55.0ms

Algorithm
intervals
Results
23.0ms274×body80valid

simplify9.0s

Counts
1 → 1
Iterations
IterNodes
done5000
214931
204632
194322
184022
173715
163432
153153
142700
132087
121425
11884
10583
9411
8337
7254
6203
5147
496
353
231
118
010

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
4.0b
(fma (/ y (- z a)) (- z t) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
25.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series272.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ y (- z a))
202.0ms
(fma (/ y (- z a)) (- z t) x)

simplify3.4s

Counts
55 → 55
Iterations
IterNodes
done5000
31280
2460
1177
092

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
4.0b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
37.0ms
(/ 1 (- z a))
128.0ms
(* y (/ 1 (- z a)))
1.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series403.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ 1 (- z a))
79.0ms
(* y (/ 1 (- z a)))
240.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify6.8s

Counts
108 → 108
Iterations
IterNodes
done5000
32098
2803
1303
0132

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

4.0b
(fma (* (* (cbrt (* y (/ 1 (- z a)))) (cbrt (* y (/ 1 (- z a))))) (cbrt (* y (/ 1 (- z a))))) (- z t) x)
12.8b
(cbrt (* y (/ 1 (- z a))))
12.8b
(cbrt (* y (/ 1 (- z a))))
12.8b
(cbrt (* y (/ 1 (- z a))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-div
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*r/ un-div-inv
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(fma (* (* (cbrt (* y (/ 1 (- z a)))) (cbrt (* y (/ 1 (- z a))))) (cbrt (* y (/ 1 (- z a))))) (- z t) x)
23.0ms
(cbrt (* y (/ 1 (- z a))))
23.0ms
(cbrt (* y (/ 1 (- z a))))
25.0ms
(cbrt (* y (/ 1 (- z a))))

series2.2s

Counts
4 → 12
Calls
4 calls:
404.0ms
(fma (* (* (cbrt (* y (/ 1 (- z a)))) (cbrt (* y (/ 1 (- z a))))) (cbrt (* y (/ 1 (- z a))))) (- z t) x)
763.0ms
(cbrt (* y (/ 1 (- z a))))
432.0ms
(cbrt (* y (/ 1 (- z a))))
604.0ms
(cbrt (* y (/ 1 (- z a))))

simplify12.2s

Counts
61 → 61
Iterations
IterNodes
done5000
43179
3774
2269
1118
066

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (/ 1 (- z a)))
0.7b
(cbrt (/ 1 (- z a)))
0.7b
(cbrt (/ 1 (- z a)))
4.0b
(fma (* (* y (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a))))) (cbrt (/ 1 (- z a)))) (- z t) x)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 106
Calls
4 calls:
163.0ms
(cbrt (/ 1 (- z a)))
15.0ms
(cbrt (/ 1 (- z a)))
14.0ms
(cbrt (/ 1 (- z a)))
1.0ms
(fma (* (* y (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a))))) (cbrt (/ 1 (- z a)))) (- z t) x)

series3.1s

Counts
4 → 12
Calls
4 calls:
411.0ms
(cbrt (/ 1 (- z a)))
354.0ms
(cbrt (/ 1 (- z a)))
1.9s
(cbrt (/ 1 (- z a)))
368.0ms
(fma (* (* y (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a))))) (cbrt (/ 1 (- z a)))) (- z t) x)

simplify3.8s

Counts
118 → 118
Iterations
IterNodes
done5000
31544
2527
1256
0141

prune1.5s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes1.5s

Accuracy

89.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample2.0s

Algorithm
intervals
Results
758.0ms8749×body80valid
0.0ms1×body320valid