Details

Time bar (total: 41.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms309×body80valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5000
114445
101808
9704
8290
7124
656
552
446
337
224
116
06

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x z) y x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (/ x z) y x)

simplify3.2s

Counts
13 → 13
Iterations
IterNodes
done5000
53865
4682
3162
251
125
018

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
6.0b
(/ x (/ z y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
81×*-un-lft-identity
79×add-sqr-sqrt add-cube-cbrt
44×fma-def
13×associate-/r*
9×div-inv
7×add-cbrt-cube add-exp-log
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
67.0ms
(+ (/ x (/ z y)) x)
10.0ms
(/ x (/ z y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (/ x (/ z y)) x)
41.0ms
(/ x (/ z y))

simplify1.0s

Counts
136 → 136
Iterations
IterNodes
done5001
22018
1446
0174

prune646.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.1b
(/ (/ (/ x (cbrt z)) (cbrt z)) (/ (cbrt z) y))

rewrite721.0ms

Algorithm
rewrite-expression-head
Rules
10978×times-frac
4617×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4002×cbrt-prod
299×div-inv
136×associate-/l*
25×add-exp-log
22×associate-/r*
16×add-cbrt-cube
15×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×pow1/3
1×clear-num frac-2neg associate-/r/ associate-/l/
Counts
4 → 3215
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)
123.0ms
(/ (/ (/ x (cbrt z)) (cbrt z)) (/ (cbrt z) y))

series986.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(cbrt z)
301.0ms
(cbrt z)
250.0ms
(cbrt z)
84.0ms
(/ (/ (/ x (cbrt z)) (cbrt z)) (/ (cbrt z) y))

simplify3.1s

Counts
3227 → 3227
Iterations
IterNodes
done5001
04315

prune24.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (/ x z) (/ 1 y)) x)
5.5b
(/ (/ x z) (/ 1 y))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
824×times-frac
383×*-un-lft-identity
381×add-sqr-sqrt add-cube-cbrt
174×fma-def
56×div-inv
24×add-exp-log
16×div-exp
14×add-cbrt-cube
13×associate-/r* associate-/l*
8×cbrt-undiv
4×add-log-exp
2×expm1-log1p-u pow1 rec-exp 1-exp associate-/r/ log1p-expm1-u
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ distribute-lft-out associate-/l/
Counts
2 → 409
Calls
2 calls:
178.0ms
(+ (/ (/ x z) (/ 1 y)) x)
30.0ms
(/ (/ x z) (/ 1 y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (/ (/ x z) (/ 1 y)) x)
27.0ms
(/ (/ x z) (/ 1 y))

simplify730.0ms

Counts
415 → 415
Iterations
IterNodes
done5000
11477
0431

prune1.9s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes219.0ms

Accuracy

49.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.9b

bsearch73.0ms

Steps
ItersRangePoint
9
3.286717504080987e-12
5.09324609688744e-06
3.1130043720373814e-07
7
-1.3119232040995741e+125
-1.6225066639809637e+123
-2.047040197507522e+123

simplify4.0ms

Iterations
IterNodes
done22
122
020

end0.0ms

sample890.0ms

Algorithm
intervals
Results
473.0ms9586×body80valid