Details

Time bar (total: 4.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms278×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
4.4b
(* (/ (- x y) (- z y)) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
14.0ms
(/ (- x y) (- z y))
25.0ms
(* (/ (- x y) (- z y)) t)

series142.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
95.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune206.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.7b
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
4.0b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
34×add-exp-log
32×associate-*l*
26×times-frac
21×add-cbrt-cube
19×add-cube-cbrt
18×pow1
17×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×associate-*l/
2×pow1/3 associate-/r/ *-commutative unswap-sqr
1×flip3-- flip-- div-inv
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
61.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
34.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
194.0ms
(cbrt t)
120.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
216.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0410919
11736672
25001630

prune259.0ms

Filtered
116 candidates to 76 candidates (65.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-undiv add-cube-cbrt
7×associate-*l*
6×cbrt-div 1-exp
4×add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
5.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
51.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series552.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- x y))
154.0ms
(cbrt (- x y))
144.0ms
(cbrt (- x y))
96.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0471995
12120774
25001649

prune231.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.9b
(cbrt (* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t)))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
175×add-exp-log
93×prod-exp
85×add-cbrt-cube
54×cbrt-unprod
51×div-exp
27×cbrt-undiv
21×associate-*l*
19×pow1
18×1-exp
12×associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down
4×frac-times associate-*r/ add-log-exp
3×cbrt-div associate-*r* *-commutative div-inv
1×cbrt-prod pow1/3
Counts
4 → 147
Calls
4 calls:
48.0ms
(cbrt (* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t)))
53.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
51.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
54.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series588.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt (* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t)))
101.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
97.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
97.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify74.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04862271
122521622
250011273

prune319.0ms

Filtered
159 candidates to 74 candidates (46.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

-27.3% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 2.4b

bsearch81.0ms

Steps
ItersRangePoint
7
1.5275890292440776e-117
2.964664950859909e-116
2.922609914751092e-116
4
-5.906043100963754e-260
-3.955409345523615e-260
-5.601256576676233e-260
9
-1.53695861385236e+16
-121429039431.98735
-5901250107637.394

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample427.0ms

Algorithm
intervals
Results
222.0ms8725×body80valid