Details

Time bar (total: 5.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms270×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 3.4b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
61.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms
(/ (+ (- t z) 1.0) a)
31.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series248.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms
(/ (+ (- t z) 1.0) a)
128.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify74.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
07071950
126291888
250011887

prune429.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
0.5b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
23.0ms
(/ (- y z) (+ (- t z) 1.0))
54.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series257.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
47.0ms
(/ (- y z) (+ (- t z) 1.0))
125.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0436882
11450824
25001823

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
3.2b
(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite34.0ms

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)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
30.0ms
(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a)
373.0ms
(cbrt a)
183.0ms
(cbrt a)
199.0ms
(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify66.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05381383
121831143
250011092

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
14.3b
(cbrt (/ (+ (- t z) 1.0) a))
14.3b
(cbrt (/ (+ (- t z) 1.0) a))
14.3b
(cbrt (/ (+ (- t z) 1.0) a))

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
274×*-un-lft-identity
253×times-frac
182×add-sqr-sqrt
158×cbrt-prod
115×associate-*r*
106×add-cube-cbrt
49×add-exp-log
48×distribute-lft-out
46×distribute-lft-out--
22×difference-of-squares
20×prod-exp
18×add-cbrt-cube
15×div-exp
12×unswap-sqr
10×associate-*l* div-inv
8×cbrt-div cbrt-unprod
7×cbrt-undiv
6×pow1
4×rec-exp 1-exp associate-/r/ add-log-exp
3×pow1/3
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 253
Calls
4 calls:
262.0ms
(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
9.0ms
(cbrt (/ (+ (- t z) 1.0) a))
9.0ms
(cbrt (/ (+ (- t z) 1.0) a))
9.0ms
(cbrt (/ (+ (- t z) 1.0) a))

series590.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
150.0ms
(cbrt (/ (+ (- t z) 1.0) a))
153.0ms
(cbrt (/ (+ (- t z) 1.0) a))
143.0ms
(cbrt (/ (+ (- t z) 1.0) a))

simplify132.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
010014347
148033992
250013908

prune724.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample540.0ms

Algorithm
intervals
Results
290.0ms8489×body80valid