Details

Time bar (total: 5.4s)

sample20.0ms

Algorithm
intervals
Results
8.0ms267×body80valid
0.0ms1×body1280valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.4b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
35.0ms
(/ (+ (- t z) 1.0) a)
30.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series150.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ (- t z) 1.0) a)
120.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify68.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06291758
124231698
250031697

prune399.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
28.0ms
(/ (- y z) (+ (- t z) 1.0))
56.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series175.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (+ (- t z) 1.0))
124.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0377755
11255699
25002697

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
2.7b
(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity times-frac
22×add-exp-log
19×add-cube-cbrt
14×add-cbrt-cube
9×cbrt-undiv cbrt-prod div-exp
7×div-inv
6×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×pow1 prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-/l/
1×flip3-- frac-2neg div-sub clear-num associate-/r/ flip--
Counts
4 → 92
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
36.0ms
(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a)
182.0ms
(cbrt a)
178.0ms
(cbrt a)
207.0ms
(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify62.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05381383
121831143
250011092

prune401.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
3.6b
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
3.6b
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
3.6b
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div times-frac div-inv
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt a)
25.0ms
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
26.0ms
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
24.0ms
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt a)
560.0ms
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
380.0ms
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))
373.0ms
(cbrt (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify60.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
02091095
1542996
21921895
35002892

prune385.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample516.0ms

Algorithm
intervals
Results
270.0ms8502×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid