Details

Time bar (total: 16.6s)

sample33.0ms

Algorithm
intervals
Results
14.0ms371×body80valid

simplify53.0ms

Counts
1 → 1
Iterations
IterNodes
done75
575
471
351
235
117
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
7.8b
(/ (- (* x y) (* z t)) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
2 → 48
Calls
2 calls:
11.0ms
(- (* x y) (* z t))
24.0ms
(/ (- (* x y) (* z t)) a)

series177.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- (* x y) (* z t))
101.0ms
(/ (- (* x y) (* z t)) a)

simplify3.0s

Counts
54 → 54
Iterations
IterNodes
done5001
32559
2695
1224
088

prune482.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* z t)))
7.8b
(/ (fma x y (- (* z t))) a)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma x y (- (* z t)))
4.0ms
(/ (fma x y (- (* z t))) a)

series139.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(fma x y (- (* z t)))
76.0ms
(/ (fma x y (- (* z t))) a)

simplify1.4s

Counts
45 → 45
Iterations
IterNodes
done5001
3994
2264
1114
067

prune428.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.8b

localize31.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* z t)))
7.8b
(* (fma x y (- (* z t))) (/ 1 a))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity times-frac add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp
3×associate-*l* unswap-sqr
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(fma x y (- (* z t)))
23.0ms
(* (fma x y (- (* z t))) (/ 1 a))

series181.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(fma x y (- (* z t)))
103.0ms
(* (fma x y (- (* z t))) (/ 1 a))

simplify2.2s

Counts
54 → 54
Iterations
IterNodes
done5000
32037
2558
1204
090

prune381.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.8b

localize44.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (* (fma x y (- (* z t))) (/ 1 a)))
7.8b
(* (fma x y (- (* z t))) (/ 1 a))
7.8b
(* (fma x y (- (* z t))) (/ 1 a))
7.8b
(* (fma x y (- (* z t))) (/ 1 a))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*r*
33×times-frac
31×*-un-lft-identity add-exp-log
28×add-cube-cbrt
19×add-cbrt-cube
12×prod-exp
10×pow1
9×associate-*l* unswap-sqr
6×div-exp cbrt-unprod
4×expm1-log1p-u associate-*r/ un-div-inv log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 127
Calls
4 calls:
5.0ms
(cbrt (* (fma x y (- (* z t))) (/ 1 a)))
23.0ms
(* (fma x y (- (* z t))) (/ 1 a))
16.0ms
(* (fma x y (- (* z t))) (/ 1 a))
12.0ms
(* (fma x y (- (* z t))) (/ 1 a))

series530.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt (* (fma x y (- (* z t))) (/ 1 a)))
86.0ms
(* (fma x y (- (* z t))) (/ 1 a))
85.0ms
(* (fma x y (- (* z t))) (/ 1 a))
71.0ms
(* (fma x y (- (* z t))) (/ 1 a))

simplify2.6s

Counts
139 → 139
Iterations
IterNodes
done5000
32731
2804
1304
0135

prune1.4s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.8b

regimes1.6s

Accuracy

0% (0.3b remaining)

Error of 7.3b against oracle of 7.0b and baseline of 7.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done16
216
114
09

end0.0ms

sample1.8s

Algorithm
intervals
Results
688.0ms11132×body80valid