Details

Time bar (total: 2.7s)

sample30.0ms

Algorithm
intervals
Results
15.0ms330×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0224
1464
21214
32584
44344
56874
619574
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0262303
11268253
25002253

prune96.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49857
Fresh000
Picked101
Done000
Total50858

Merged error: 0.0b

Counts
58 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.0b
(/ x (/ z (+ (- y z) 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
7.0ms
(/ z (+ (- y z) 1.0))
11.0ms
(/ x (/ z (+ (- y z) 1.0)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ z (+ (- y z) 1.0))
42.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04631195
121431142
250011140

prune212.0ms

Filtered
149 candidates to 98 candidates (65.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh437
Picked011
Done000
Total1516157

Merged error: 0b

Counts
157 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.1b
(* z (/ 1 (+ (- y z) 1.0)))
3.0b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
11×div-exp
8×prod-exp
7×distribute-lft-out--
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
11.0ms
(/ 1 (+ (- y z) 1.0))
13.0ms
(* z (/ 1 (+ (- y z) 1.0)))
11.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (+ (- y z) 1.0))
50.0ms
(* z (/ 1 (+ (- y z) 1.0)))
40.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0386715
11770598
25002543

prune140.0ms

Filtered
127 candidates to 69 candidates (54.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done011
Total1276133

Merged error: 0b

Counts
133 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
7.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
42×add-sqr-sqrt
40×times-frac
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
12×distribute-lft-out
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
21.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt z)
167.0ms
(cbrt z)
165.0ms
(cbrt z)
69.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04681008
12527818
25001780

prune231.0ms

Filtered
124 candidates to 91 candidates (73.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh033
Picked011
Done022
Total1246130

Merged error: 0b

Counts
130 → 6

regimes85.0ms

Accuracy

85.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch64.0ms

Steps
ItersRangePoint
9
4.579929683924865e-155
6.108084254765978e-147
5.976149083268064e-147
6
-5885.016217463414
-429.07278163176255
-692.1305138115428

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample504.0ms

Algorithm
intervals
Results
294.0ms10010×body80valid