Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify88.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
6.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite61.0ms

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:
42.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ (- y z) 1.0))
44.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0262303
11268253
25002253

prune125.0ms

Filtered
57 candidates to 39 candidates (68.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite51.0ms

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:
18.0ms
(/ z (+ (- y z) 1.0))
23.0ms
(/ x (/ z (+ (- y z) 1.0)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ z (+ (- y z) 1.0))
46.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04631195
121431142
250011140

prune307.0ms

Filtered
149 candidates to 98 candidates (65.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 80
Calls
2 calls:
37.0ms
(/ (+ (- y z) 1.0) z)
43.0ms
(* x (/ (+ (- y z) 1.0) z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ (- y z) 1.0) z)
46.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify47.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0274497
11191450
25001447

prune166.0ms

Filtered
86 candidates to 53 candidates (61.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
1.0b
(/ x (/ (cbrt z) (+ (- y z) 1.0)))
4.5b
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
452×times-frac
415×*-un-lft-identity
236×add-sqr-sqrt
201×add-cube-cbrt
114×cbrt-prod
113×associate-*r*
87×add-exp-log
84×distribute-lft-out
42×distribute-lft-out--
36×div-exp associate-/r*
35×add-cbrt-cube
30×prod-exp
18×cbrt-undiv
16×associate-/r/
12×cbrt-unprod unswap-sqr
10×div-inv
7×flip3-+ associate-*l* flip-+
6×pow1 rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 366
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
27.0ms
(/ x (/ (cbrt z) (+ (- y z) 1.0)))
138.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))))

series644.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt z)
199.0ms
(cbrt z)
167.0ms
(/ x (/ (cbrt z) (+ (- y z) 1.0)))
78.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
013344221
150023665

prune1.1s

Filtered
378 candidates to 242 candidates (64.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes143.0ms

Accuracy

91.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.4b

bsearch72.0ms

Steps
ItersRangePoint
8
1.1720782251133966e-20
5.099291964230676e-18
6.531790029996457e-20
7
-8.324803000800919e+69
-9.036383567374878e+67
-9.173927684996018e+67

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample455.0ms

Algorithm
intervals
Results
250.0ms10161×body80valid