Details

Time bar (total: 2.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms316×body80valid

simplify90.0ms

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: 11.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.9b
(/ (* x (+ (- y z) 1.0)) z)

rewrite20.0ms

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:
9.0ms
(* x (+ (- y z) 1.0))
10.0ms
(/ (* x (+ (- y z) 1.0)) z)

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ (- y z) 1.0))
48.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0262303
11268253
25002253

prune120.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.8b
(/ x (/ z (+ (- y z) 1.0)))

rewrite27.0ms

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:
8.0ms
(/ z (+ (- y z) 1.0))
12.0ms
(/ x (/ z (+ (- y z) 1.0)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ z (+ (- y z) 1.0))
51.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04631195
121431142
250011140

prune267.0ms

Filtered
149 candidates to 97 candidates (65.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1472149
Fresh527
Picked101
Done000
Total1534157

Merged error: 0b

Counts
157 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.2b
(* z (/ 1 (+ (- y z) 1.0)))
2.8b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite42.0ms

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:
8.0ms
(/ 1 (+ (- y z) 1.0))
13.0ms
(* z (/ 1 (+ (- y z) 1.0)))
13.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series141.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (+ (- y z) 1.0))
54.0ms
(* z (/ 1 (+ (- y z) 1.0)))
47.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0386715
11770598
25002543

prune169.0ms

Filtered
127 candidates to 70 candidates (55.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done000
Total1274131

Merged error: 0b

Counts
131 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite24.0ms

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:
9.0ms
(/ (+ (- y z) 1.0) z)
12.0ms
(* x (/ (+ (- y z) 1.0) z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ (- y z) 1.0) z)
44.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0274497
11191450
25001447

prune129.0ms

Filtered
86 candidates to 53 candidates (61.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh022
Picked011
Done011
Total86490

Merged error: 0b

Counts
90 → 4

regimes83.0ms

Accuracy

78.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.4b

bsearch91.0ms

Steps
ItersRangePoint
8
3.2398009343753024e-119
8.0955310320907385e-115
7.979051855651127e-115
10
-5.751090220494918e+91
-7.05799624172187e+79
-4.579571988072302e+83

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02413
12413

end0.0ms

sample497.0ms

Algorithm
intervals
Results
267.0ms10119×body80valid